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Finding the Fourth Proportional to 83.17, 114.87 and 58.74

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Solution

The fourth proportional to 83.17, 114.87 and 58.74 is: 81.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.17 : 114.87 = 58.74 : x
  2. Step 2: Convert to fraction form
    83.17/114.87 = 58.74/x
  3. Step 3: Cross multiply
    83.17x = 114.87 × 58.74
  4. Step 4: Simplify right side
    83.17x = 6,747.46
  5. Step 5: Solve for x
    x = 6,747.46/83.17
  6. Step 6: Final answer
    x = 81.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.