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Finding the Fourth Proportional to 84.74, 126.92 and 52.61

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Solution

The fourth proportional to 84.74, 126.92 and 52.61 is: 78.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.74 : 126.92 = 52.61 : x
  2. Step 2: Convert to fraction form
    84.74/126.92 = 52.61/x
  3. Step 3: Cross multiply
    84.74x = 126.92 × 52.61
  4. Step 4: Simplify right side
    84.74x = 6,676.36
  5. Step 5: Solve for x
    x = 6,676.36/84.74
  6. Step 6: Final answer
    x = 78.79

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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.