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Finding the Fourth Proportional to 20.59, 30.86 and 13.83

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Solution

The fourth proportional to 20.59, 30.86 and 13.83 is: 20.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.59 : 30.86 = 13.83 : x
  2. Step 2: Convert to fraction form
    20.59/30.86 = 13.83/x
  3. Step 3: Cross multiply
    20.59x = 30.86 × 13.83
  4. Step 4: Simplify right side
    20.59x = 426.79
  5. Step 5: Solve for x
    x = 426.79/20.59
  6. Step 6: Final answer
    x = 20.73

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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.