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Finding the Fourth Proportional to 51.09, 76.46 and 31.82

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Solution

The fourth proportional to 51.09, 76.46 and 31.82 is: 47.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.09 : 76.46 = 31.82 : x
  2. Step 2: Convert to fraction form
    51.09/76.46 = 31.82/x
  3. Step 3: Cross multiply
    51.09x = 76.46 × 31.82
  4. Step 4: Simplify right side
    51.09x = 2,432.96
  5. Step 5: Solve for x
    x = 2,432.96/51.09
  6. Step 6: Final answer
    x = 47.62

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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.