Finding the Fourth Proportional to 109.67, 164.15 and 75.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109.67 : 164.15 = 75.50 : x
2. Step 2: Convert to fraction form
   109.67/164.15 = 75.50/x
3. Step 3: Cross multiply
   109.67x = 164.15 × 75.50
4. Step 4: Simplify right side
   109.67x = 12,392.13
5. Step 5: Solve for x
   x = 12,392.13/109.67
6. Step 6: Final answer
   x = 113.00