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Finding the Fourth Proportional to 22.97, 34.31 and 16.97

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Solution

The fourth proportional to 22.97, 34.31 and 16.97 is: 25.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.97 : 34.31 = 16.97 : x
  2. Step 2: Convert to fraction form
    22.97/34.31 = 16.97/x
  3. Step 3: Cross multiply
    22.97x = 34.31 × 16.97
  4. Step 4: Simplify right side
    22.97x = 581.98
  5. Step 5: Solve for x
    x = 581.98/22.97
  6. Step 6: Final answer
    x = 25.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.