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Finding the Fourth Proportional to 63.63, 87.69 and 54.30

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Solution

The fourth proportional to 63.63, 87.69 and 54.30 is: 74.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.63 : 87.69 = 54.30 : x
  2. Step 2: Convert to fraction form
    63.63/87.69 = 54.30/x
  3. Step 3: Cross multiply
    63.63x = 87.69 × 54.30
  4. Step 4: Simplify right side
    63.63x = 4,761.57
  5. Step 5: Solve for x
    x = 4,761.57/63.63
  6. Step 6: Final answer
    x = 74.83

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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.