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Finding the Fourth Proportional to 26.82, 36.97 and 26.02

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Solution

The fourth proportional to 26.82, 36.97 and 26.02 is: 35.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.82 : 36.97 = 26.02 : x
  2. Step 2: Convert to fraction form
    26.82/36.97 = 26.02/x
  3. Step 3: Cross multiply
    26.82x = 36.97 × 26.02
  4. Step 4: Simplify right side
    26.82x = 961.96
  5. Step 5: Solve for x
    x = 961.96/26.82
  6. Step 6: Final answer
    x = 35.87

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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.