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Finding the Fourth Proportional to 61.14, 84.46 and 48.73

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Solution

The fourth proportional to 61.14, 84.46 and 48.73 is: 67.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.14 : 84.46 = 48.73 : x
  2. Step 2: Convert to fraction form
    61.14/84.46 = 48.73/x
  3. Step 3: Cross multiply
    61.14x = 84.46 × 48.73
  4. Step 4: Simplify right side
    61.14x = 4,115.74
  5. Step 5: Solve for x
    x = 4,115.74/61.14
  6. Step 6: Final answer
    x = 67.32

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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.