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Finding the Fourth Proportional to 26.78, 36.97 and 20.24

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Solution

The fourth proportional to 26.78, 36.97 and 20.24 is: 27.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.78 : 36.97 = 20.24 : x
  2. Step 2: Convert to fraction form
    26.78/36.97 = 20.24/x
  3. Step 3: Cross multiply
    26.78x = 36.97 × 20.24
  4. Step 4: Simplify right side
    26.78x = 748.27
  5. Step 5: Solve for x
    x = 748.27/26.78
  6. Step 6: Final answer
    x = 27.94

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