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Finding the Fourth Proportional to 18.29, 27.42 and 13.65

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Solution

The fourth proportional to 18.29, 27.42 and 13.65 is: 20.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.29 : 27.42 = 13.65 : x
  2. Step 2: Convert to fraction form
    18.29/27.42 = 13.65/x
  3. Step 3: Cross multiply
    18.29x = 27.42 × 13.65
  4. Step 4: Simplify right side
    18.29x = 374.28
  5. Step 5: Solve for x
    x = 374.28/18.29
  6. Step 6: Final answer
    x = 20.46

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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.