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Finding the Fourth Proportional to 13.04, 17.97 and 11.67

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Solution

The fourth proportional to 13.04, 17.97 and 11.67 is: 16.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.04 : 17.97 = 11.67 : x
  2. Step 2: Convert to fraction form
    13.04/17.97 = 11.67/x
  3. Step 3: Cross multiply
    13.04x = 17.97 × 11.67
  4. Step 4: Simplify right side
    13.04x = 209.71
  5. Step 5: Solve for x
    x = 209.71/13.04
  6. Step 6: Final answer
    x = 16.09

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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.