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Finding the Fourth Proportional to 61.13, 84.12 and 52.22

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Solution

The fourth proportional to 61.13, 84.12 and 52.22 is: 71.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.13 : 84.12 = 52.22 : x
  2. Step 2: Convert to fraction form
    61.13/84.12 = 52.22/x
  3. Step 3: Cross multiply
    61.13x = 84.12 × 52.22
  4. Step 4: Simplify right side
    61.13x = 4,392.75
  5. Step 5: Solve for x
    x = 4,392.75/61.13
  6. Step 6: Final answer
    x = 71.86

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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.