Finding the Fourth Proportional to 105.42, 158.14 and 65.12

Step by Step Solution

1. Step 1: Write the proportion equation
   105.42 : 158.14 = 65.12 : x
2. Step 2: Convert to fraction form
   105.42/158.14 = 65.12/x
3. Step 3: Cross multiply
   105.42x = 158.14 × 65.12
4. Step 4: Simplify right side
   105.42x = 10,298.08
5. Step 5: Solve for x
   x = 10,298.08/105.42
6. Step 6: Final answer
   x = 97.69