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Finding the Fourth Proportional to 22.76, 34.13 and 9.23

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Solution

The fourth proportional to 22.76, 34.13 and 9.23 is: 13.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.76 : 34.13 = 9.23 : x
  2. Step 2: Convert to fraction form
    22.76/34.13 = 9.23/x
  3. Step 3: Cross multiply
    22.76x = 34.13 × 9.23
  4. Step 4: Simplify right side
    22.76x = 314.85
  5. Step 5: Solve for x
    x = 314.85/22.76
  6. Step 6: Final answer
    x = 13.84

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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.