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Finding the Fourth Proportional to 16.14, 22.17 and 16.05

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Solution

The fourth proportional to 16.14, 22.17 and 16.05 is: 22.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.14 : 22.17 = 16.05 : x
  2. Step 2: Convert to fraction form
    16.14/22.17 = 16.05/x
  3. Step 3: Cross multiply
    16.14x = 22.17 × 16.05
  4. Step 4: Simplify right side
    16.14x = 355.83
  5. Step 5: Solve for x
    x = 355.83/16.14
  6. Step 6: Final answer
    x = 22.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.