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Finding the Fourth Proportional to 13.12, 19.48 and 12.14

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Solution

The fourth proportional to 13.12, 19.48 and 12.14 is: 18.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.12 : 19.48 = 12.14 : x
  2. Step 2: Convert to fraction form
    13.12/19.48 = 12.14/x
  3. Step 3: Cross multiply
    13.12x = 19.48 × 12.14
  4. Step 4: Simplify right side
    13.12x = 236.49
  5. Step 5: Solve for x
    x = 236.49/13.12
  6. Step 6: Final answer
    x = 18.02

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.