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Finding the Fourth Proportional to 61.74, 92.44 and 42.44

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Solution

The fourth proportional to 61.74, 92.44 and 42.44 is: 63.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.74 : 92.44 = 42.44 : x
  2. Step 2: Convert to fraction form
    61.74/92.44 = 42.44/x
  3. Step 3: Cross multiply
    61.74x = 92.44 × 42.44
  4. Step 4: Simplify right side
    61.74x = 3,923.15
  5. Step 5: Solve for x
    x = 3,923.15/61.74
  6. Step 6: Final answer
    x = 63.54

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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.