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Finding the Fourth Proportional to 61.71, 84.96 and 55.14

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Solution

The fourth proportional to 61.71, 84.96 and 55.14 is: 75.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.71 : 84.96 = 55.14 : x
  2. Step 2: Convert to fraction form
    61.71/84.96 = 55.14/x
  3. Step 3: Cross multiply
    61.71x = 84.96 × 55.14
  4. Step 4: Simplify right side
    61.71x = 4,684.69
  5. Step 5: Solve for x
    x = 4,684.69/61.71
  6. Step 6: Final answer
    x = 75.91

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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.