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Finding the Fourth Proportional to 14.62, 20.19 and 12.82

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Solution

The fourth proportional to 14.62, 20.19 and 12.82 is: 17.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.62 : 20.19 = 12.82 : x
  2. Step 2: Convert to fraction form
    14.62/20.19 = 12.82/x
  3. Step 3: Cross multiply
    14.62x = 20.19 × 12.82
  4. Step 4: Simplify right side
    14.62x = 258.84
  5. Step 5: Solve for x
    x = 258.84/14.62
  6. Step 6: Final answer
    x = 17.70

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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.