The ratio of height to number of dishes is 15 inches to 10 dishes. How high will a stack of 30 dishes be?

We can set up a proportion to solve this problem. Let x be the height of the stack of 30 dishes. We have the ratio:

15 inches/10 dishes = x inches/30 dishes

Cross multiplying, we get:

10*x = 15*30

10x = 450

x = 450/10

x = 45

Therefore, a stack of 30 dishes will be 45 inches high.