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Finding the Fourth Proportional to 17.96, 24.77 and 11.49

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Solution

The fourth proportional to 17.96, 24.77 and 11.49 is: 15.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.96 : 24.77 = 11.49 : x
  2. Step 2: Convert to fraction form
    17.96/24.77 = 11.49/x
  3. Step 3: Cross multiply
    17.96x = 24.77 × 11.49
  4. Step 4: Simplify right side
    17.96x = 284.64
  5. Step 5: Solve for x
    x = 284.64/17.96
  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.