Solution:
Step 1: Convert the mixed number to an improper fraction:

thus, if Aurelia needs to be 4 1/2 feet to ride an amusement park ride, this is equivalent to saying that Aurelia needs to be 4.5 feet to ride an amusement park ride.
Step 2: Convert the above obtained to inches:

Step 3: Calculate the difference between Aurelia's height and the value obtained in the previous section:

So that, we can conclude that the correct answer is:
10 inches.