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Finding the Fourth Proportional to 57.74, 86.72 and 42.46

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Solution

The fourth proportional to 57.74, 86.72 and 42.46 is: 63.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.74 : 86.72 = 42.46 : x
  2. Step 2: Convert to fraction form
    57.74/86.72 = 42.46/x
  3. Step 3: Cross multiply
    57.74x = 86.72 × 42.46
  4. Step 4: Simplify right side
    57.74x = 3,681.70
  5. Step 5: Solve for x
    x = 3,681.70/57.74
  6. Step 6: Final answer
    x = 63.77

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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.