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Finding the Fourth Proportional to 11.67, 16.19 and 11.33

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Solution

The fourth proportional to 11.67, 16.19 and 11.33 is: 15.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.67 : 16.19 = 11.33 : x
  2. Step 2: Convert to fraction form
    11.67/16.19 = 11.33/x
  3. Step 3: Cross multiply
    11.67x = 16.19 × 11.33
  4. Step 4: Simplify right side
    11.67x = 183.43
  5. Step 5: Solve for x
    x = 183.43/11.67
  6. Step 6: Final answer
    x = 15.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.