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Finding the Fourth Proportional to 20.10, 30.16 and 19.69

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Solution

The fourth proportional to 20.10, 30.16 and 19.69 is: 29.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.10 : 30.16 = 19.69 : x
  2. Step 2: Convert to fraction form
    20.10/30.16 = 19.69/x
  3. Step 3: Cross multiply
    20.10x = 30.16 × 19.69
  4. Step 4: Simplify right side
    20.10x = 593.85
  5. Step 5: Solve for x
    x = 593.85/20.10
  6. Step 6: Final answer
    x = 29.54

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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.