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Finding the Fourth Proportional to 63.24, 87.18 and 56.76

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Solution

The fourth proportional to 63.24, 87.18 and 56.76 is: 78.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.24 : 87.18 = 56.76 : x
  2. Step 2: Convert to fraction form
    63.24/87.18 = 56.76/x
  3. Step 3: Cross multiply
    63.24x = 87.18 × 56.76
  4. Step 4: Simplify right side
    63.24x = 4,948.34
  5. Step 5: Solve for x
    x = 4,948.34/63.24
  6. Step 6: Final answer
    x = 78.25

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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.