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Finding the Fourth Proportional to 13.02, 17.94 and 12.11

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Solution

The fourth proportional to 13.02, 17.94 and 12.11 is: 16.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.02 : 17.94 = 12.11 : x
  2. Step 2: Convert to fraction form
    13.02/17.94 = 12.11/x
  3. Step 3: Cross multiply
    13.02x = 17.94 × 12.11
  4. Step 4: Simplify right side
    13.02x = 217.25
  5. Step 5: Solve for x
    x = 217.25/13.02
  6. Step 6: Final answer
    x = 16.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.