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Finding the Fourth Proportional to 61.97, 85.39 and 40.10

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Solution

The fourth proportional to 61.97, 85.39 and 40.10 is: 55.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.97 : 85.39 = 40.10 : x
  2. Step 2: Convert to fraction form
    61.97/85.39 = 40.10/x
  3. Step 3: Cross multiply
    61.97x = 85.39 × 40.10
  4. Step 4: Simplify right side
    61.97x = 3,423.61
  5. Step 5: Solve for x
    x = 3,423.61/61.97
  6. Step 6: Final answer
    x = 55.25

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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.