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Finding the Fourth Proportional to 26.72, 40.09 and 16.57

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Solution

The fourth proportional to 26.72, 40.09 and 16.57 is: 24.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.72 : 40.09 = 16.57 : x
  2. Step 2: Convert to fraction form
    26.72/40.09 = 16.57/x
  3. Step 3: Cross multiply
    26.72x = 40.09 × 16.57
  4. Step 4: Simplify right side
    26.72x = 664.29
  5. Step 5: Solve for x
    x = 664.29/26.72
  6. Step 6: Final answer
    x = 24.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.