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Finding the Fourth Proportional to 16.96, 23.39 and 11.49

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Solution

The fourth proportional to 16.96, 23.39 and 11.49 is: 15.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.96 : 23.39 = 11.49 : x
  2. Step 2: Convert to fraction form
    16.96/23.39 = 11.49/x
  3. Step 3: Cross multiply
    16.96x = 23.39 × 11.49
  4. Step 4: Simplify right side
    16.96x = 268.75
  5. Step 5: Solve for x
    x = 268.75/16.96
  6. Step 6: Final answer
    x = 15.85

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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.