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Finding the Fourth Proportional to 51.34, 77.18 and 47.78

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Solution

The fourth proportional to 51.34, 77.18 and 47.78 is: 71.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.34 : 77.18 = 47.78 : x
  2. Step 2: Convert to fraction form
    51.34/77.18 = 47.78/x
  3. Step 3: Cross multiply
    51.34x = 77.18 × 47.78
  4. Step 4: Simplify right side
    51.34x = 3,687.66
  5. Step 5: Solve for x
    x = 3,687.66/51.34
  6. Step 6: Final answer
    x = 71.83

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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.