Finding the Fourth Proportional to 109.72, 164.48 and 75.39

Step by Step Solution

1. Step 1: Write the proportion equation
   109.72 : 164.48 = 75.39 : x
2. Step 2: Convert to fraction form
   109.72/164.48 = 75.39/x
3. Step 3: Cross multiply
   109.72x = 164.48 × 75.39
4. Step 4: Simplify right side
   109.72x = 12,400.15
5. Step 5: Solve for x
   x = 12,400.15/109.72
6. Step 6: Final answer
   x = 113.02