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Finding the Fourth Proportional to 61.97, 85.13 and 52.70

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Solution

The fourth proportional to 61.97, 85.13 and 52.70 is: 72.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.97 : 85.13 = 52.70 : x
  2. Step 2: Convert to fraction form
    61.97/85.13 = 52.70/x
  3. Step 3: Cross multiply
    61.97x = 85.13 × 52.70
  4. Step 4: Simplify right side
    61.97x = 4,486.19
  5. Step 5: Solve for x
    x = 4,486.19/61.97
  6. Step 6: Final answer
    x = 72.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.