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Finding the Fourth Proportional to 38.34, 52.91 and 26.73

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Solution

The fourth proportional to 38.34, 52.91 and 26.73 is: 36.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.34 : 52.91 = 26.73 : x
  2. Step 2: Convert to fraction form
    38.34/52.91 = 26.73/x
  3. Step 3: Cross multiply
    38.34x = 52.91 × 26.73
  4. Step 4: Simplify right side
    38.34x = 1,414.15
  5. Step 5: Solve for x
    x = 1,414.15/38.34
  6. Step 6: Final answer
    x = 36.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.