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Finding the Fourth Proportional to 51.24, 76.89 and 20.82

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Solution

The fourth proportional to 51.24, 76.89 and 20.82 is: 31.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.24 : 76.89 = 20.82 : x
  2. Step 2: Convert to fraction form
    51.24/76.89 = 20.82/x
  3. Step 3: Cross multiply
    51.24x = 76.89 × 20.82
  4. Step 4: Simplify right side
    51.24x = 1,600.85
  5. Step 5: Solve for x
    x = 1,600.85/51.24
  6. Step 6: Final answer
    x = 31.24

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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.