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Finding the Fourth Proportional to 13.65, 20.42 and 12.81

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Solution

The fourth proportional to 13.65, 20.42 and 12.81 is: 19.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.65 : 20.42 = 12.81 : x
  2. Step 2: Convert to fraction form
    13.65/20.42 = 12.81/x
  3. Step 3: Cross multiply
    13.65x = 20.42 × 12.81
  4. Step 4: Simplify right side
    13.65x = 261.58
  5. Step 5: Solve for x
    x = 261.58/13.65
  6. Step 6: Final answer
    x = 19.16

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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.