If $60$ miles per hour is $88$ feet per second, how many feet per second is $66$ miles per hour? Express your answer as a decimal to the nearest tenth.
I want to find the relationship between miles per hour and feet per second, so I can use the given information to set up a proportion. I'll write miles per hour as mph and feet per second as fps. So, if $60$ mph is $88$ fps, then I can write the proportion as $\frac{60 \text{ mph}}{88 \text{ fps}} = \frac{66 \text{ mph}}{x \text{ fps}}$. To solve for $x$, I can cross-multiply and get $60x = 88 \cdot 66$. Dividing both sides by $60$, I get $x = \frac{88 \cdot 66}{60}$. I can use a calculator to find that this is approximately $96.8$. So, $66$ mph is about $96.8$ fps.

