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Finding the Fourth Proportional to 16.67, 22.99 and 16.27

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Solution

The fourth proportional to 16.67, 22.99 and 16.27 is: 22.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.67 : 22.99 = 16.27 : x
  2. Step 2: Convert to fraction form
    16.67/22.99 = 16.27/x
  3. Step 3: Cross multiply
    16.67x = 22.99 × 16.27
  4. Step 4: Simplify right side
    16.67x = 374.05
  5. Step 5: Solve for x
    x = 374.05/16.67
  6. Step 6: Final answer
    x = 22.44

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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.