A T-shirt comes in different sizes. A large T-shirt is 27.5 in. wide and 29.5 in. long. If a small youth T-shirt is 15.5 in. wide, what is its length to the nearest inch if it is similar to the large t-shirt? Show your work or explain your process. Set up a proportion to solve for the missing value. Length of large / width of large = x / width of small. Solve for x (cross multiply then divide).
Let x be the length of the small youth T-shirt.
Using the setup proportion:
29.5 / 27.5 = x / 15.5
Now, cross multiply:
29.5 * 15.5 = 27.5 * x
457.25 = 27.5x
Divide both sides by 27.5:
x = 16.63
Therefore, the length of the small youth T-shirt to the nearest inch would be 17 inches.