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Finding the Fourth Proportional to 83.97, 125.69 and 58.16

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Solution

The fourth proportional to 83.97, 125.69 and 58.16 is: 87.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.97 : 125.69 = 58.16 : x
  2. Step 2: Convert to fraction form
    83.97/125.69 = 58.16/x
  3. Step 3: Cross multiply
    83.97x = 125.69 × 58.16
  4. Step 4: Simplify right side
    83.97x = 7,310.13
  5. Step 5: Solve for x
    x = 7,310.13/83.97
  6. Step 6: Final answer
    x = 87.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.