Finding the Fourth Proportional to 105.16, 158.69 and 101.35

Step by Step Solution

1. Step 1: Write the proportion equation
   105.16 : 158.69 = 101.35 : x
2. Step 2: Convert to fraction form
   105.16/158.69 = 101.35/x
3. Step 3: Cross multiply
   105.16x = 158.69 × 101.35
4. Step 4: Simplify right side
   105.16x = 16,083.48
5. Step 5: Solve for x
   x = 16,083.48/105.16
6. Step 6: Final answer
   x = 152.94