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Finding the Fourth Proportional to 18.92, 26.12 and 11.66

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Solution

The fourth proportional to 18.92, 26.12 and 11.66 is: 16.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.92 : 26.12 = 11.66 : x
  2. Step 2: Convert to fraction form
    18.92/26.12 = 11.66/x
  3. Step 3: Cross multiply
    18.92x = 26.12 × 11.66
  4. Step 4: Simplify right side
    18.92x = 304.37
  5. Step 5: Solve for x
    x = 304.37/18.92
  6. Step 6: Final answer
    x = 16.09

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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.