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Finding the Fourth Proportional to 61.82, 92.78 and 42.55

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Solution

The fourth proportional to 61.82, 92.78 and 42.55 is: 63.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.82 : 92.78 = 42.55 : x
  2. Step 2: Convert to fraction form
    61.82/92.78 = 42.55/x
  3. Step 3: Cross multiply
    61.82x = 92.78 × 42.55
  4. Step 4: Simplify right side
    61.82x = 3,947.81
  5. Step 5: Solve for x
    x = 3,947.81/61.82
  6. Step 6: Final answer
    x = 63.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.