Finding the Fourth Proportional to 105.96, 158.82 and 100.20

Step by Step Solution

1. Step 1: Write the proportion equation
   105.96 : 158.82 = 100.20 : x
2. Step 2: Convert to fraction form
   105.96/158.82 = 100.20/x
3. Step 3: Cross multiply
   105.96x = 158.82 × 100.20
4. Step 4: Simplify right side
   105.96x = 15,913.76
5. Step 5: Solve for x
   x = 15,913.76/105.96
6. Step 6: Final answer
   x = 150.19