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Finding the Fourth Proportional to 22.89, 34.14 and 20.04

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Solution

The fourth proportional to 22.89, 34.14 and 20.04 is: 29.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.89 : 34.14 = 20.04 : x
  2. Step 2: Convert to fraction form
    22.89/34.14 = 20.04/x
  3. Step 3: Cross multiply
    22.89x = 34.14 × 20.04
  4. Step 4: Simplify right side
    22.89x = 684.17
  5. Step 5: Solve for x
    x = 684.17/22.89
  6. Step 6: Final answer
    x = 29.89

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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.