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Finding the Fourth Proportional to 61.34, 84.68 and 39.55

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Solution

The fourth proportional to 61.34, 84.68 and 39.55 is: 54.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.34 : 84.68 = 39.55 : x
  2. Step 2: Convert to fraction form
    61.34/84.68 = 39.55/x
  3. Step 3: Cross multiply
    61.34x = 84.68 × 39.55
  4. Step 4: Simplify right side
    61.34x = 3,348.98
  5. Step 5: Solve for x
    x = 3,348.98/61.34
  6. Step 6: Final answer
    x = 54.59

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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.