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Finding the Fourth Proportional to 83.29, 124.33 and 71.95

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Solution

The fourth proportional to 83.29, 124.33 and 71.95 is: 107.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.29 : 124.33 = 71.95 : x
  2. Step 2: Convert to fraction form
    83.29/124.33 = 71.95/x
  3. Step 3: Cross multiply
    83.29x = 124.33 × 71.95
  4. Step 4: Simplify right side
    83.29x = 8,945.72
  5. Step 5: Solve for x
    x = 8,945.72/83.29
  6. Step 6: Final answer
    x = 107.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.