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Finding the Fourth Proportional to 63.42, 87.22 and 55.24

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Solution

The fourth proportional to 63.42, 87.22 and 55.24 is: 75.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.42 : 87.22 = 55.24 : x
  2. Step 2: Convert to fraction form
    63.42/87.22 = 55.24/x
  3. Step 3: Cross multiply
    63.42x = 87.22 × 55.24
  4. Step 4: Simplify right side
    63.42x = 4,818.03
  5. Step 5: Solve for x
    x = 4,818.03/63.42
  6. Step 6: Final answer
    x = 75.97

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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.