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Finding the Fourth Proportional to 18.23, 27.40 and 11.83

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Solution

The fourth proportional to 18.23, 27.40 and 11.83 is: 17.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.23 : 27.40 = 11.83 : x
  2. Step 2: Convert to fraction form
    18.23/27.40 = 11.83/x
  3. Step 3: Cross multiply
    18.23x = 27.40 × 11.83
  4. Step 4: Simplify right side
    18.23x = 324.14
  5. Step 5: Solve for x
    x = 324.14/18.23
  6. Step 6: Final answer
    x = 17.78

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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.