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Finding the Fourth Proportional to 26.78, 39.88 and 26.15

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Solution

The fourth proportional to 26.78, 39.88 and 26.15 is: 38.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.78 : 39.88 = 26.15 : x
  2. Step 2: Convert to fraction form
    26.78/39.88 = 26.15/x
  3. Step 3: Cross multiply
    26.78x = 39.88 × 26.15
  4. Step 4: Simplify right side
    26.78x = 1,042.86
  5. Step 5: Solve for x
    x = 1,042.86/26.78
  6. Step 6: Final answer
    x = 38.94

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