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Finding the Fourth Proportional to 13.40, 18.42 and 12.13

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Solution

The fourth proportional to 13.40, 18.42 and 12.13 is: 16.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.40 : 18.42 = 12.13 : x
  2. Step 2: Convert to fraction form
    13.40/18.42 = 12.13/x
  3. Step 3: Cross multiply
    13.40x = 18.42 × 12.13
  4. Step 4: Simplify right side
    13.40x = 223.34
  5. Step 5: Solve for x
    x = 223.34/13.40
  6. Step 6: Final answer
    x = 16.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.