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Finding the Fourth Proportional to 83.97, 116.07 and 62.34

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Solution

The fourth proportional to 83.97, 116.07 and 62.34 is: 86.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.97 : 116.07 = 62.34 : x
  2. Step 2: Convert to fraction form
    83.97/116.07 = 62.34/x
  3. Step 3: Cross multiply
    83.97x = 116.07 × 62.34
  4. Step 4: Simplify right side
    83.97x = 7,235.80
  5. Step 5: Solve for x
    x = 7,235.80/83.97
  6. Step 6: Final answer
    x = 86.17

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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.