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Finding the Fourth Proportional to 13.40, 20.14 and 12.42

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Solution

The fourth proportional to 13.40, 20.14 and 12.42 is: 18.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.40 : 20.14 = 12.42 : x
  2. Step 2: Convert to fraction form
    13.40/20.14 = 12.42/x
  3. Step 3: Cross multiply
    13.40x = 20.14 × 12.42
  4. Step 4: Simplify right side
    13.40x = 250.14
  5. Step 5: Solve for x
    x = 250.14/13.40
  6. Step 6: Final answer
    x = 18.67

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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.