Finding the Fourth Proportional to 109.82, 164.09 and 75.29

Step by Step Solution

1. Step 1: Write the proportion equation
   109.82 : 164.09 = 75.29 : x
2. Step 2: Convert to fraction form
   109.82/164.09 = 75.29/x
3. Step 3: Cross multiply
   109.82x = 164.09 × 75.29
4. Step 4: Simplify right side
   109.82x = 12,354.34
5. Step 5: Solve for x
   x = 12,354.34/109.82
6. Step 6: Final answer
   x = 112.50