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Finding the Fourth Proportional to 22.97, 34.34 and 16.52

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Solution

The fourth proportional to 22.97, 34.34 and 16.52 is: 24.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.97 : 34.34 = 16.52 : x
  2. Step 2: Convert to fraction form
    22.97/34.34 = 16.52/x
  3. Step 3: Cross multiply
    22.97x = 34.34 × 16.52
  4. Step 4: Simplify right side
    22.97x = 567.17
  5. Step 5: Solve for x
    x = 567.17/22.97
  6. Step 6: Final answer
    x = 24.69

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