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Finding the Fourth Proportional to 16.82, 23.20 and 11.64

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Solution

The fourth proportional to 16.82, 23.20 and 11.64 is: 16.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.82 : 23.20 = 11.64 : x
  2. Step 2: Convert to fraction form
    16.82/23.20 = 11.64/x
  3. Step 3: Cross multiply
    16.82x = 23.20 × 11.64
  4. Step 4: Simplify right side
    16.82x = 270.05
  5. Step 5: Solve for x
    x = 270.05/16.82
  6. Step 6: Final answer
    x = 16.06

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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.