Finding the Fourth Proportional to 109.53, 164.33 and 32.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109.53 : 164.33 = 32.50 : x
2. Step 2: Convert to fraction form
   109.53/164.33 = 32.50/x
3. Step 3: Cross multiply
   109.53x = 164.33 × 32.50
4. Step 4: Simplify right side
   109.53x = 5,340.27
5. Step 5: Solve for x
   x = 5,340.27/109.53
6. Step 6: Final answer
   x = 48.75