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Finding the Fourth Proportional to 18.23, 25.14 and 13.62

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Solution

The fourth proportional to 18.23, 25.14 and 13.62 is: 18.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.23 : 25.14 = 13.62 : x
  2. Step 2: Convert to fraction form
    18.23/25.14 = 13.62/x
  3. Step 3: Cross multiply
    18.23x = 25.14 × 13.62
  4. Step 4: Simplify right side
    18.23x = 342.30
  5. Step 5: Solve for x
    x = 342.30/18.23
  6. Step 6: Final answer
    x = 18.78

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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.