Finding the Fourth Proportional to 109.32, 164.03 and 82.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109.32 : 164.03 = 82.50 : x
2. Step 2: Convert to fraction form
   109.32/164.03 = 82.50/x
3. Step 3: Cross multiply
   109.32x = 164.03 × 82.50
4. Step 4: Simplify right side
   109.32x = 13,532.06
5. Step 5: Solve for x
   x = 13,532.06/109.32
6. Step 6: Final answer
   x = 123.78