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Finding the Fourth Proportional to 26.44, 36.49 and 16.61

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Solution

The fourth proportional to 26.44, 36.49 and 16.61 is: 22.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.44 : 36.49 = 16.61 : x
  2. Step 2: Convert to fraction form
    26.44/36.49 = 16.61/x
  3. Step 3: Cross multiply
    26.44x = 36.49 × 16.61
  4. Step 4: Simplify right side
    26.44x = 606.10
  5. Step 5: Solve for x
    x = 606.10/26.44
  6. Step 6: Final answer
    x = 22.92

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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.