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. Solve for x ( cross multiply and divide)

To find the length of the small youth T-shirt, we can set up a proportion using the information given.

Let x be the length of the small youth T-shirt.

We can set up the proportion:

27.5 in / 29.5 in = 15.5 in / x

Now, we can cross multiply:

27.5 * x = 29.5 * 15.5

27.5x = 458.25

Now, we can solve for x by dividing both sides by 27.5:

x = 458.25 / 27.5

x = 16.65

Therefore, the length of the small youth T-shirt is approximately 16.65 inches when rounded to the nearest inch.