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Finding the Fourth Proportional to 20.48, 30.65 and 13.66

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Solution

The fourth proportional to 20.48, 30.65 and 13.66 is: 20.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.48 : 30.65 = 13.66 : x
  2. Step 2: Convert to fraction form
    20.48/30.65 = 13.66/x
  3. Step 3: Cross multiply
    20.48x = 30.65 × 13.66
  4. Step 4: Simplify right side
    20.48x = 418.53
  5. Step 5: Solve for x
    x = 418.53/20.48
  6. Step 6: Final answer
    x = 20.44

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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.