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Finding the Fourth Proportional to 20.11, 30.17 and 19.77

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Solution

The fourth proportional to 20.11, 30.17 and 19.77 is: 29.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.11 : 30.17 = 19.77 : x
  2. Step 2: Convert to fraction form
    20.11/30.17 = 19.77/x
  3. Step 3: Cross multiply
    20.11x = 30.17 × 19.77
  4. Step 4: Simplify right side
    20.11x = 596.46
  5. Step 5: Solve for x
    x = 596.46/20.11
  6. Step 6: Final answer
    x = 29.66

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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.