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Finding the Fourth Proportional to 16.92, 23.21 and 16.29

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Solution

The fourth proportional to 16.92, 23.21 and 16.29 is: 22.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.92 : 23.21 = 16.29 : x
  2. Step 2: Convert to fraction form
    16.92/23.21 = 16.29/x
  3. Step 3: Cross multiply
    16.92x = 23.21 × 16.29
  4. Step 4: Simplify right side
    16.92x = 378.01
  5. Step 5: Solve for x
    x = 378.01/16.92
  6. Step 6: Final answer
    x = 22.34

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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.