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Finding the Fourth Proportional to 26.30, 36.11 and 25.97

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Solution

The fourth proportional to 26.30, 36.11 and 25.97 is: 35.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.30 : 36.11 = 25.97 : x
  2. Step 2: Convert to fraction form
    26.30/36.11 = 25.97/x
  3. Step 3: Cross multiply
    26.30x = 36.11 × 25.97
  4. Step 4: Simplify right side
    26.30x = 937.66
  5. Step 5: Solve for x
    x = 937.66/26.30
  6. Step 6: Final answer
    x = 35.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.