Finding the Fourth Proportional to 106.45, 159.69 and 34.31

Step by Step Solution

1. Step 1: Write the proportion equation
   106.45 : 159.69 = 34.31 : x
2. Step 2: Convert to fraction form
   106.45/159.69 = 34.31/x
3. Step 3: Cross multiply
   106.45x = 159.69 × 34.31
4. Step 4: Simplify right side
   106.45x = 5,479.30
5. Step 5: Solve for x
   x = 5,479.30/106.45
6. Step 6: Final answer
   x = 51.47