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Finding the Fourth Proportional to 16.38, 24.56 and 11.66

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Solution

The fourth proportional to 16.38, 24.56 and 11.66 is: 17.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.38 : 24.56 = 11.66 : x
  2. Step 2: Convert to fraction form
    16.38/24.56 = 11.66/x
  3. Step 3: Cross multiply
    16.38x = 24.56 × 11.66
  4. Step 4: Simplify right side
    16.38x = 286.28
  5. Step 5: Solve for x
    x = 286.28/16.38
  6. Step 6: Final answer
    x = 17.48

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