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Finding the Fourth Proportional to 20.67, 31.00 and 7.83

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Solution

The fourth proportional to 20.67, 31.00 and 7.83 is: 11.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.67 : 31.00 = 7.83 : x
  2. Step 2: Convert to fraction form
    20.67/31.00 = 7.83/x
  3. Step 3: Cross multiply
    20.67x = 31.00 × 7.83
  4. Step 4: Simplify right side
    20.67x = 242.83
  5. Step 5: Solve for x
    x = 242.83/20.67
  6. Step 6: Final answer
    x = 11.75

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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.