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Finding the Fourth Proportional to 20.10, 30.19 and 19.19

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Solution

The fourth proportional to 20.10, 30.19 and 19.19 is: 28.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.10 : 30.19 = 19.19 : x
  2. Step 2: Convert to fraction form
    20.10/30.19 = 19.19/x
  3. Step 3: Cross multiply
    20.10x = 30.19 × 19.19
  4. Step 4: Simplify right side
    20.10x = 579.35
  5. Step 5: Solve for x
    x = 579.35/20.10
  6. Step 6: Final answer
    x = 28.82

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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.