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Finding the Fourth Proportional to 20.26, 30.17 and 19.22

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Solution

The fourth proportional to 20.26, 30.17 and 19.22 is: 28.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.26 : 30.17 = 19.22 : x
  2. Step 2: Convert to fraction form
    20.26/30.17 = 19.22/x
  3. Step 3: Cross multiply
    20.26x = 30.17 × 19.22
  4. Step 4: Simplify right side
    20.26x = 579.87
  5. Step 5: Solve for x
    x = 579.87/20.26
  6. Step 6: Final answer
    x = 28.62

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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.