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Finding the Fourth Proportional to 22.97, 31.67 and 17.14

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Solution

The fourth proportional to 22.97, 31.67 and 17.14 is: 23.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.97 : 31.67 = 17.14 : x
  2. Step 2: Convert to fraction form
    22.97/31.67 = 17.14/x
  3. Step 3: Cross multiply
    22.97x = 31.67 × 17.14
  4. Step 4: Simplify right side
    22.97x = 542.82
  5. Step 5: Solve for x
    x = 542.82/22.97
  6. Step 6: Final answer
    x = 23.63

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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.