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Finding the Fourth Proportional to 61.14, 84.39 and 40.41

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Solution

The fourth proportional to 61.14, 84.39 and 40.41 is: 55.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.14 : 84.39 = 40.41 : x
  2. Step 2: Convert to fraction form
    61.14/84.39 = 40.41/x
  3. Step 3: Cross multiply
    61.14x = 84.39 × 40.41
  4. Step 4: Simplify right side
    61.14x = 3,410.04
  5. Step 5: Solve for x
    x = 3,410.04/61.14
  6. Step 6: Final answer
    x = 55.78

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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.