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Finding the Fourth Proportional to 51.73, 77.60 and 31.44

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Solution

The fourth proportional to 51.73, 77.60 and 31.44 is: 47.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.73 : 77.60 = 31.44 : x
  2. Step 2: Convert to fraction form
    51.73/77.60 = 31.44/x
  3. Step 3: Cross multiply
    51.73x = 77.60 × 31.44
  4. Step 4: Simplify right side
    51.73x = 2,439.74
  5. Step 5: Solve for x
    x = 2,439.74/51.73
  6. Step 6: Final answer
    x = 47.16

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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.