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Finding the Fourth Proportional to 12.82, 19.30 and 9.83

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Solution

The fourth proportional to 12.82, 19.30 and 9.83 is: 14.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.82 : 19.30 = 9.83 : x
  2. Step 2: Convert to fraction form
    12.82/19.30 = 9.83/x
  3. Step 3: Cross multiply
    12.82x = 19.30 × 9.83
  4. Step 4: Simplify right side
    12.82x = 189.74
  5. Step 5: Solve for x
    x = 189.74/12.82
  6. Step 6: Final answer
    x = 14.81

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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.