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Finding the Fourth Proportional to 22.90, 34.13 and 22.24

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Solution

The fourth proportional to 22.90, 34.13 and 22.24 is: 33.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.90 : 34.13 = 22.24 : x
  2. Step 2: Convert to fraction form
    22.90/34.13 = 22.24/x
  3. Step 3: Cross multiply
    22.90x = 34.13 × 22.24
  4. Step 4: Simplify right side
    22.90x = 759.05
  5. Step 5: Solve for x
    x = 759.05/22.90
  6. Step 6: Final answer
    x = 33.15

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Why These Related Problems?

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