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Finding the Fourth Proportional to 61.97, 85.11 and 61.07

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Solution

The fourth proportional to 61.97, 85.11 and 61.07 is: 83.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.97 : 85.11 = 61.07 : x
  2. Step 2: Convert to fraction form
    61.97/85.11 = 61.07/x
  3. Step 3: Cross multiply
    61.97x = 85.11 × 61.07
  4. Step 4: Simplify right side
    61.97x = 5,197.01
  5. Step 5: Solve for x
    x = 5,197.01/61.97
  6. Step 6: Final answer
    x = 83.87

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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.