Finding the Fourth Proportional to 67.82, 101.64 and 42.14

Step by Step Solution

1. Step 1: Write the proportion equation
   67.82 : 101.64 = 42.14 : x
2. Step 2: Convert to fraction form
   67.82/101.64 = 42.14/x
3. Step 3: Cross multiply
   67.82x = 101.64 × 42.14
4. Step 4: Simplify right side
   67.82x = 4,283.52
5. Step 5: Solve for x
   x = 4,283.52/67.82
6. Step 6: Final answer
   x = 63.16