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Finding the Fourth Proportional to 51.39, 76.97 and 31.12

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Solution

The fourth proportional to 51.39, 76.97 and 31.12 is: 46.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.39 : 76.97 = 31.12 : x
  2. Step 2: Convert to fraction form
    51.39/76.97 = 31.12/x
  3. Step 3: Cross multiply
    51.39x = 76.97 × 31.12
  4. Step 4: Simplify right side
    51.39x = 2,395.31
  5. Step 5: Solve for x
    x = 2,395.31/51.39
  6. Step 6: Final answer
    x = 46.61

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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.