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Finding the Fourth Proportional to 51.82, 77.64 and 24.73

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Solution

The fourth proportional to 51.82, 77.64 and 24.73 is: 37.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.82 : 77.64 = 24.73 : x
  2. Step 2: Convert to fraction form
    51.82/77.64 = 24.73/x
  3. Step 3: Cross multiply
    51.82x = 77.64 × 24.73
  4. Step 4: Simplify right side
    51.82x = 1,920.04
  5. Step 5: Solve for x
    x = 1,920.04/51.82
  6. Step 6: Final answer
    x = 37.05

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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.