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Finding the Fourth Proportional to 26.54, 39.60 and 24.73

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Solution

The fourth proportional to 26.54, 39.60 and 24.73 is: 36.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.54 : 39.60 = 24.73 : x
  2. Step 2: Convert to fraction form
    26.54/39.60 = 24.73/x
  3. Step 3: Cross multiply
    26.54x = 39.60 × 24.73
  4. Step 4: Simplify right side
    26.54x = 979.31
  5. Step 5: Solve for x
    x = 979.31/26.54
  6. Step 6: Final answer
    x = 36.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.