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Finding the Fourth Proportional to 14.06, 20.97 and 11.78

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Solution

The fourth proportional to 14.06, 20.97 and 11.78 is: 17.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.06 : 20.97 = 11.78 : x
  2. Step 2: Convert to fraction form
    14.06/20.97 = 11.78/x
  3. Step 3: Cross multiply
    14.06x = 20.97 × 11.78
  4. Step 4: Simplify right side
    14.06x = 246.92
  5. Step 5: Solve for x
    x = 246.92/14.06
  6. Step 6: Final answer
    x = 17.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.