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Finding the Fourth Proportional to 13.35, 19.97 and 11.66

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Solution

The fourth proportional to 13.35, 19.97 and 11.66 is: 17.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.35 : 19.97 = 11.66 : x
  2. Step 2: Convert to fraction form
    13.35/19.97 = 11.66/x
  3. Step 3: Cross multiply
    13.35x = 19.97 × 11.66
  4. Step 4: Simplify right side
    13.35x = 232.69
  5. Step 5: Solve for x
    x = 232.69/13.35
  6. Step 6: Final answer
    x = 17.43

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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.