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Finding the Fourth Proportional to 26.20, 39 and 26.05

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Solution

The fourth proportional to 26.20, 39 and 26.05 is: 38.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.20 : 39 = 26.05 : x
  2. Step 2: Convert to fraction form
    26.20/39 = 26.05/x
  3. Step 3: Cross multiply
    26.20x = 39 × 26.05
  4. Step 4: Simplify right side
    26.20x = 1,015.95
  5. Step 5: Solve for x
    x = 1,015.95/26.20
  6. Step 6: Final answer
    x = 38.78

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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.