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Finding the Fourth Proportional to 16.05, 24.02 and 14.12

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Solution

The fourth proportional to 16.05, 24.02 and 14.12 is: 21.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.05 : 24.02 = 14.12 : x
  2. Step 2: Convert to fraction form
    16.05/24.02 = 14.12/x
  3. Step 3: Cross multiply
    16.05x = 24.02 × 14.12
  4. Step 4: Simplify right side
    16.05x = 338.97
  5. Step 5: Solve for x
    x = 338.97/16.05
  6. Step 6: Final answer
    x = 21.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.