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Finding the Fourth Proportional to 83.99, 125.87 and 58.30

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Solution

The fourth proportional to 83.99, 125.87 and 58.30 is: 87.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.99 : 125.87 = 58.30 : x
  2. Step 2: Convert to fraction form
    83.99/125.87 = 58.30/x
  3. Step 3: Cross multiply
    83.99x = 125.87 × 58.30
  4. Step 4: Simplify right side
    83.99x = 7,337.61
  5. Step 5: Solve for x
    x = 7,337.61/83.99
  6. Step 6: Final answer
    x = 87.36

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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.