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Finding the Fourth Proportional to 18.27, 25.20 and 12.80

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Solution

The fourth proportional to 18.27, 25.20 and 12.80 is: 17.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.27 : 25.20 = 12.80 : x
  2. Step 2: Convert to fraction form
    18.27/25.20 = 12.80/x
  3. Step 3: Cross multiply
    18.27x = 25.20 × 12.80
  4. Step 4: Simplify right side
    18.27x = 322.62
  5. Step 5: Solve for x
    x = 322.62/18.27
  6. Step 6: Final answer
    x = 17.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.