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Finding the Fourth Proportional to 22.97, 34.46 and 9.46

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Solution

The fourth proportional to 22.97, 34.46 and 9.46 is: 14.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.97 : 34.46 = 9.46 : x
  2. Step 2: Convert to fraction form
    22.97/34.46 = 9.46/x
  3. Step 3: Cross multiply
    22.97x = 34.46 × 9.46
  4. Step 4: Simplify right side
    22.97x = 325.93
  5. Step 5: Solve for x
    x = 325.93/22.97
  6. Step 6: Final answer
    x = 14.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.