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Finding the Fourth Proportional to 20.58, 30.85 and 13.82

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Solution

The fourth proportional to 20.58, 30.85 and 13.82 is: 20.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.58 : 30.85 = 13.82 : x
  2. Step 2: Convert to fraction form
    20.58/30.85 = 13.82/x
  3. Step 3: Cross multiply
    20.58x = 30.85 × 13.82
  4. Step 4: Simplify right side
    20.58x = 426.35
  5. Step 5: Solve for x
    x = 426.35/20.58
  6. Step 6: Final answer
    x = 20.72

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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.