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Finding the Fourth Proportional to 26.27, 36.25 and 14.61

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Solution

The fourth proportional to 26.27, 36.25 and 14.61 is: 20.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.27 : 36.25 = 14.61 : x
  2. Step 2: Convert to fraction form
    26.27/36.25 = 14.61/x
  3. Step 3: Cross multiply
    26.27x = 36.25 × 14.61
  4. Step 4: Simplify right side
    26.27x = 529.44
  5. Step 5: Solve for x
    x = 529.44/26.27
  6. Step 6: Final answer
    x = 20.16

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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.