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Finding the Fourth Proportional to 16.67, 23.02 and 11.83

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Solution

The fourth proportional to 16.67, 23.02 and 11.83 is: 16.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.67 : 23.02 = 11.83 : x
  2. Step 2: Convert to fraction form
    16.67/23.02 = 11.83/x
  3. Step 3: Cross multiply
    16.67x = 23.02 × 11.83
  4. Step 4: Simplify right side
    16.67x = 272.33
  5. Step 5: Solve for x
    x = 272.33/16.67
  6. Step 6: Final answer
    x = 16.34

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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.