Finding the Fourth Proportional to 105.68, 158.52 and 100.82

Step by Step Solution

1. Step 1: Write the proportion equation
   105.68 : 158.52 = 100.82 : x
2. Step 2: Convert to fraction form
   105.68/158.52 = 100.82/x
3. Step 3: Cross multiply
   105.68x = 158.52 × 100.82
4. Step 4: Simplify right side
   105.68x = 15,981.99
5. Step 5: Solve for x
   x = 15,981.99/105.68
6. Step 6: Final answer
   x = 151.23