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Finding the Fourth Proportional to 63.48, 87.46 and 49.71

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Solution

The fourth proportional to 63.48, 87.46 and 49.71 is: 68.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.48 : 87.46 = 49.71 : x
  2. Step 2: Convert to fraction form
    63.48/87.46 = 49.71/x
  3. Step 3: Cross multiply
    63.48x = 87.46 × 49.71
  4. Step 4: Simplify right side
    63.48x = 4,347.64
  5. Step 5: Solve for x
    x = 4,347.64/63.48
  6. Step 6: Final answer
    x = 68.49

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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.