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Finding the Fourth Proportional to 26.20, 36.19 and 20.05

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Solution

The fourth proportional to 26.20, 36.19 and 20.05 is: 27.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.20 : 36.19 = 20.05 : x
  2. Step 2: Convert to fraction form
    26.20/36.19 = 20.05/x
  3. Step 3: Cross multiply
    26.20x = 36.19 × 20.05
  4. Step 4: Simplify right side
    26.20x = 725.49
  5. Step 5: Solve for x
    x = 725.49/26.20
  6. Step 6: Final answer
    x = 27.69

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Why These Related Problems?

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