Kira made $\$ 288$ for 18 hours of work. At the same rate, how many hours would she have to work to make $\$ 112$ ? hours

Step 1 ：The problem is asking for the number of hours Kira would have to work to earn $112, given that she earns $288 for 18 hours of work. This is a problem of proportionality.

Step 2 ：We can set up a proportion to solve this problem. The proportion would be: \[\frac{288}{18} = \frac{112}{x}\] where x is the number of hours Kira would have to work to earn $112.

Step 3 ：We can solve this equation for x to find the answer.

Step 4 ：earnings1 = 288, hours1 = 18, earnings2 = 112, hours2 = 7.0

Step 5 ：Final Answer: Kira would have to work \(\boxed{7}\) hours to make $112.