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Finding the Fourth Proportional to 94.52, 142.32 and 82.64

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Solution

The fourth proportional to 94.52, 142.32 and 82.64 is: 124.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.52 : 142.32 = 82.64 : x
  2. Step 2: Convert to fraction form
    94.52/142.32 = 82.64/x
  3. Step 3: Cross multiply
    94.52x = 142.32 × 82.64
  4. Step 4: Simplify right side
    94.52x = 11,761.32
  5. Step 5: Solve for x
    x = 11,761.32/94.52
  6. Step 6: Final answer
    x = 124.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.