Finding the Fourth Proportional to 105.05, 157.62 and 100.96

Step by Step Solution

1. Step 1: Write the proportion equation
   105.05 : 157.62 = 100.96 : x
2. Step 2: Convert to fraction form
   105.05/157.62 = 100.96/x
3. Step 3: Cross multiply
   105.05x = 157.62 × 100.96
4. Step 4: Simplify right side
   105.05x = 15,913.32
5. Step 5: Solve for x
   x = 15,913.32/105.05
6. Step 6: Final answer
   x = 151.48