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Finding the Fourth Proportional to 26.80, 39.88 and 26.71

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Solution

The fourth proportional to 26.80, 39.88 and 26.71 is: 39.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.80 : 39.88 = 26.71 : x
  2. Step 2: Convert to fraction form
    26.80/39.88 = 26.71/x
  3. Step 3: Cross multiply
    26.80x = 39.88 × 26.71
  4. Step 4: Simplify right side
    26.80x = 1,065.36
  5. Step 5: Solve for x
    x = 1,065.36/26.80
  6. Step 6: Final answer
    x = 39.75

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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.