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Finding the Fourth Proportional to 13.66, 20.57 and 12.17

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Solution

The fourth proportional to 13.66, 20.57 and 12.17 is: 18.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.66 : 20.57 = 12.17 : x
  2. Step 2: Convert to fraction form
    13.66/20.57 = 12.17/x
  3. Step 3: Cross multiply
    13.66x = 20.57 × 12.17
  4. Step 4: Simplify right side
    13.66x = 250.34
  5. Step 5: Solve for x
    x = 250.34/13.66
  6. Step 6: Final answer
    x = 18.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.