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Finding the Fourth Proportional to 51.44, 77.12 and 31.18

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Solution

The fourth proportional to 51.44, 77.12 and 31.18 is: 46.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.44 : 77.12 = 31.18 : x
  2. Step 2: Convert to fraction form
    51.44/77.12 = 31.18/x
  3. Step 3: Cross multiply
    51.44x = 77.12 × 31.18
  4. Step 4: Simplify right side
    51.44x = 2,404.60
  5. Step 5: Solve for x
    x = 2,404.60/51.44
  6. Step 6: Final answer
    x = 46.75

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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.