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Finding the Fourth Proportional to 22.97, 34.43 and 7.74

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Solution

The fourth proportional to 22.97, 34.43 and 7.74 is: 11.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.97 : 34.43 = 7.74 : x
  2. Step 2: Convert to fraction form
    22.97/34.43 = 7.74/x
  3. Step 3: Cross multiply
    22.97x = 34.43 × 7.74
  4. Step 4: Simplify right side
    22.97x = 266.45
  5. Step 5: Solve for x
    x = 266.45/22.97
  6. Step 6: Final answer
    x = 11.60

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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.