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Finding the Fourth Proportional to 16.78, 23.11 and 14.05

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Solution

The fourth proportional to 16.78, 23.11 and 14.05 is: 19.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.78 : 23.11 = 14.05 : x
  2. Step 2: Convert to fraction form
    16.78/23.11 = 14.05/x
  3. Step 3: Cross multiply
    16.78x = 23.11 × 14.05
  4. Step 4: Simplify right side
    16.78x = 324.60
  5. Step 5: Solve for x
    x = 324.60/16.78
  6. Step 6: Final answer
    x = 19.34

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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.