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Finding the Fourth Proportional to 19.83, 29.76 and 7.82

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Solution

The fourth proportional to 19.83, 29.76 and 7.82 is: 11.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.83 : 29.76 = 7.82 : x
  2. Step 2: Convert to fraction form
    19.83/29.76 = 7.82/x
  3. Step 3: Cross multiply
    19.83x = 29.76 × 7.82
  4. Step 4: Simplify right side
    19.83x = 232.54
  5. Step 5: Solve for x
    x = 232.54/19.83
  6. Step 6: Final answer
    x = 11.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.