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Finding the Fourth Proportional to 16.78, 23.17 and 11.85

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Solution

The fourth proportional to 16.78, 23.17 and 11.85 is: 16.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.78 : 23.17 = 11.85 : x
  2. Step 2: Convert to fraction form
    16.78/23.17 = 11.85/x
  3. Step 3: Cross multiply
    16.78x = 23.17 × 11.85
  4. Step 4: Simplify right side
    16.78x = 274.56
  5. Step 5: Solve for x
    x = 274.56/16.78
  6. Step 6: Final answer
    x = 16.37

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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.