Finding the Fourth Proportional to 106.89, 159.63 and 100.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106.89 : 159.63 = 100.50 : x
2. Step 2: Convert to fraction form
   106.89/159.63 = 100.50/x
3. Step 3: Cross multiply
   106.89x = 159.63 × 100.50
4. Step 4: Simplify right side
   106.89x = 16,042.82
5. Step 5: Solve for x
   x = 16,042.82/106.89
6. Step 6: Final answer
   x = 150.09