At the ice skating competition, Vonda finished with a total of 44 points. Melinda finished with 0.2 fewer points than Vonda, and Davina finished with 1.68 fewer points than Melinda. How many points did Davina have?

Melinda had 44 - 0.2 = <<44-0.2=43.8>>43.8 points.

Thus, Davina had 43.8 - 1.68 = <<43.8-1.68=42.12>>42.12 points. Answer: \boxed{42.12}.

Let's break down the problem step by step:

Step 1: Find Melinda's points.
Melinda finished with 0.2 fewer points than Vonda, so to find Melinda's points, we subtract 0.2 from Vonda's points.
Melinda's points = Vonda's points - 0.2
Melinda's points = 44 - 0.2
Melinda's points = 43.8

Step 2: Find Davina's points.
Davina finished with 1.68 fewer points than Melinda, so to find Davina's points, we subtract 1.68 from Melinda's points.
Davina's points = Melinda's points - 1.68
Davina's points = 43.8 - 1.68
Davina's points = 42.12

Therefore, Davina had 42.12 points in the ice skating competition.

To find out how many points Davina had, we need to follow the given information step by step. Let's break it down:

1. Vonda finished with a total of 44 points.
2. Melinda finished with 0.2 fewer points than Vonda.
3. Davina finished with 1.68 fewer points than Melinda.

To get the total points Davina had, we need to subtract the amount Melinda scored from the amount Vonda scored and then subtract the amount Davina scored from Melinda's score.

Step 1: Melinda's score = Vonda's score - 0.2
Step 2: Davina's score = Melinda's score - 1.68

Let's substitute the values and calculate:

Step 1: Melinda's score = 44 - 0.2 = 43.8
Step 2: Davina's score = 43.8 - 1.68 = 42.12

Therefore, Davina had a total of 42.12 points.