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Finding the Fourth Proportional to 57.77, 86.52 and 38.46

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Solution

The fourth proportional to 57.77, 86.52 and 38.46 is: 57.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.77 : 86.52 = 38.46 : x
  2. Step 2: Convert to fraction form
    57.77/86.52 = 38.46/x
  3. Step 3: Cross multiply
    57.77x = 86.52 × 38.46
  4. Step 4: Simplify right side
    57.77x = 3,327.56
  5. Step 5: Solve for x
    x = 3,327.56/57.77
  6. Step 6: Final answer
    x = 57.60

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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.