Finding the Fourth Proportional to 67.82, 101.62 and 31.72

Step by Step Solution

1. Step 1: Write the proportion equation
   67.82 : 101.62 = 31.72 : x
2. Step 2: Convert to fraction form
   67.82/101.62 = 31.72/x
3. Step 3: Cross multiply
   67.82x = 101.62 × 31.72
4. Step 4: Simplify right side
   67.82x = 3,223.39
5. Step 5: Solve for x
   x = 3,223.39/67.82
6. Step 6: Final answer
   x = 47.53