The triangles below are similar. What is the value of x?

*
2 points
Captionless Image
22
16
12
18

We can use the ratio of corresponding side lengths to find the value of x.

Looking at the shorter side lengths, we have:

x/16 = 22/18

Cross-multiplying, we get:

18x = 16 * 22

Simplifying, we find:

18x = 352

Dividing both sides by 18, we find:

x = 352/18

Simplifying further, we get:

x = 19.55

Therefore, the value of x is approximately 19.55.