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Finding the Fourth Proportional to 63.46, 87.55 and 37.59

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Solution

The fourth proportional to 63.46, 87.55 and 37.59 is: 51.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.46 : 87.55 = 37.59 : x
  2. Step 2: Convert to fraction form
    63.46/87.55 = 37.59/x
  3. Step 3: Cross multiply
    63.46x = 87.55 × 37.59
  4. Step 4: Simplify right side
    63.46x = 3,291.00
  5. Step 5: Solve for x
    x = 3,291.00/63.46
  6. Step 6: Final answer
    x = 51.86

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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.