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Finding the Fourth Proportional to 17.96, 27.05 and 16.29

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Solution

The fourth proportional to 17.96, 27.05 and 16.29 is: 24.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.96 : 27.05 = 16.29 : x
  2. Step 2: Convert to fraction form
    17.96/27.05 = 16.29/x
  3. Step 3: Cross multiply
    17.96x = 27.05 × 16.29
  4. Step 4: Simplify right side
    17.96x = 440.56
  5. Step 5: Solve for x
    x = 440.56/17.96
  6. Step 6: Final answer
    x = 24.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.