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Finding the Fourth Proportional to 61.48, 84.88 and 47.72

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Solution

The fourth proportional to 61.48, 84.88 and 47.72 is: 65.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.48 : 84.88 = 47.72 : x
  2. Step 2: Convert to fraction form
    61.48/84.88 = 47.72/x
  3. Step 3: Cross multiply
    61.48x = 84.88 × 47.72
  4. Step 4: Simplify right side
    61.48x = 4,050.47
  5. Step 5: Solve for x
    x = 4,050.47/61.48
  6. Step 6: Final answer
    x = 65.88

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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.