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Finding the Fourth Proportional to 14.67, 20.19 and 11.93

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Solution

The fourth proportional to 14.67, 20.19 and 11.93 is: 16.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.67 : 20.19 = 11.93 : x
  2. Step 2: Convert to fraction form
    14.67/20.19 = 11.93/x
  3. Step 3: Cross multiply
    14.67x = 20.19 × 11.93
  4. Step 4: Simplify right side
    14.67x = 240.82
  5. Step 5: Solve for x
    x = 240.82/14.67
  6. Step 6: Final answer
    x = 16.42

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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.