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Finding the Fourth Proportional to 58.70, 87.86 and 31.62

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Solution

The fourth proportional to 58.70, 87.86 and 31.62 is: 47.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.70 : 87.86 = 31.62 : x
  2. Step 2: Convert to fraction form
    58.70/87.86 = 31.62/x
  3. Step 3: Cross multiply
    58.70x = 87.86 × 31.62
  4. Step 4: Simplify right side
    58.70x = 2,778.13
  5. Step 5: Solve for x
    x = 2,778.13/58.70
  6. Step 6: Final answer
    x = 47.33

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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.