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Finding the Fourth Proportional to 14.11, 21.06 and 11.82

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Solution

The fourth proportional to 14.11, 21.06 and 11.82 is: 17.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.11 : 21.06 = 11.82 : x
  2. Step 2: Convert to fraction form
    14.11/21.06 = 11.82/x
  3. Step 3: Cross multiply
    14.11x = 21.06 × 11.82
  4. Step 4: Simplify right side
    14.11x = 248.93
  5. Step 5: Solve for x
    x = 248.93/14.11
  6. Step 6: Final answer
    x = 17.64

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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.