Finding the Fourth Proportional to 105.66, 158.31 and 67.05

Step by Step Solution

1. Step 1: Write the proportion equation
   105.66 : 158.31 = 67.05 : x
2. Step 2: Convert to fraction form
   105.66/158.31 = 67.05/x
3. Step 3: Cross multiply
   105.66x = 158.31 × 67.05
4. Step 4: Simplify right side
   105.66x = 10,614.69
5. Step 5: Solve for x
   x = 10,614.69/105.66
6. Step 6: Final answer
   x = 100.46