To complete the ratio table, we can find out how many free throws Larry can make in 15 minutes based on the information given that he can shoot 4 free throws in 3 minutes.
First, we can find the rate at which Larry shoots free throws:
\[ \text{Rate} = \frac{4 \text{ free throws}}{3 \text{ minutes}} = \frac{4}{3} \text{ free throws per minute} \]
Now, we can see how many free throws he would make in 15 minutes:
\[ \text{Number of free throws} = \left(\frac{4}{3} \text{ free throws per minute}\right) \times 15 \text{ minutes} \]
Calculating that:
\[ \text{Number of free throws} = \frac{4 \times 15}{3} = \frac{60}{3} = 20 \]
Now we complete the ratio table:
\[ \begin{array}{|c|c|} \hline \text{Time (m)} & \text{Number of Free Throws} \ \hline 3 & 4 \ 15 & 20 \ \hline \end{array} \]
Thus, Larry can make 20 free throws in 15 minutes.