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Finding the Fourth Proportional to 63.70, 87.91 and 37.83

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Solution

The fourth proportional to 63.70, 87.91 and 37.83 is: 52.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.70 : 87.91 = 37.83 : x
  2. Step 2: Convert to fraction form
    63.70/87.91 = 37.83/x
  3. Step 3: Cross multiply
    63.70x = 87.91 × 37.83
  4. Step 4: Simplify right side
    63.70x = 3,325.64
  5. Step 5: Solve for x
    x = 3,325.64/63.70
  6. Step 6: Final answer
    x = 52.21

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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.