Finding the Fourth Proportional to 106.50, 158.69 and 100.29

Step by Step Solution

1. Step 1: Write the proportion equation
   106.50 : 158.69 = 100.29 : x
2. Step 2: Convert to fraction form
   106.50/158.69 = 100.29/x
3. Step 3: Cross multiply
   106.50x = 158.69 × 100.29
4. Step 4: Simplify right side
   106.50x = 15,914.52
5. Step 5: Solve for x
   x = 15,914.52/106.50
6. Step 6: Final answer
   x = 149.43