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Finding the Fourth Proportional to 26.92, 40.32 and 25.66

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Solution

The fourth proportional to 26.92, 40.32 and 25.66 is: 38.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.92 : 40.32 = 25.66 : x
  2. Step 2: Convert to fraction form
    26.92/40.32 = 25.66/x
  3. Step 3: Cross multiply
    26.92x = 40.32 × 25.66
  4. Step 4: Simplify right side
    26.92x = 1,034.61
  5. Step 5: Solve for x
    x = 1,034.61/26.92
  6. Step 6: Final answer
    x = 38.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.