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Finding the Fourth Proportional to 57.98, 87.06 and 47.78

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Solution

The fourth proportional to 57.98, 87.06 and 47.78 is: 71.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.98 : 87.06 = 47.78 : x
  2. Step 2: Convert to fraction form
    57.98/87.06 = 47.78/x
  3. Step 3: Cross multiply
    57.98x = 87.06 × 47.78
  4. Step 4: Simplify right side
    57.98x = 4,159.73
  5. Step 5: Solve for x
    x = 4,159.73/57.98
  6. Step 6: Final answer
    x = 71.74

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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.