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Finding the Fourth Proportional to 69.82, 104.60 and 51.76

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Solution

The fourth proportional to 69.82, 104.60 and 51.76 is: 77.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.82 : 104.60 = 51.76 : x
  2. Step 2: Convert to fraction form
    69.82/104.60 = 51.76/x
  3. Step 3: Cross multiply
    69.82x = 104.60 × 51.76
  4. Step 4: Simplify right side
    69.82x = 5,414.10
  5. Step 5: Solve for x
    x = 5,414.10/69.82
  6. Step 6: Final answer
    x = 77.54

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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.