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Finding the Fourth Proportional to 83.33, 125.68 and 82.42

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Solution

The fourth proportional to 83.33, 125.68 and 82.42 is: 124.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.33 : 125.68 = 82.42 : x
  2. Step 2: Convert to fraction form
    83.33/125.68 = 82.42/x
  3. Step 3: Cross multiply
    83.33x = 125.68 × 82.42
  4. Step 4: Simplify right side
    83.33x = 10,358.34
  5. Step 5: Solve for x
    x = 10,358.34/83.33
  6. Step 6: Final answer
    x = 124.31

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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.