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Finding the Fourth Proportional to 26.10, 38.97 and 24.66

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Solution

The fourth proportional to 26.10, 38.97 and 24.66 is: 36.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.10 : 38.97 = 24.66 : x
  2. Step 2: Convert to fraction form
    26.10/38.97 = 24.66/x
  3. Step 3: Cross multiply
    26.10x = 38.97 × 24.66
  4. Step 4: Simplify right side
    26.10x = 961.00
  5. Step 5: Solve for x
    x = 961.00/26.10
  6. Step 6: Final answer
    x = 36.82

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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.