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Finding the Fourth Proportional to 20.10, 30.17 and 15.02

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Solution

The fourth proportional to 20.10, 30.17 and 15.02 is: 22.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.10 : 30.17 = 15.02 : x
  2. Step 2: Convert to fraction form
    20.10/30.17 = 15.02/x
  3. Step 3: Cross multiply
    20.10x = 30.17 × 15.02
  4. Step 4: Simplify right side
    20.10x = 453.15
  5. Step 5: Solve for x
    x = 453.15/20.10
  6. Step 6: Final answer
    x = 22.54

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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.