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Finding the Fourth Proportional to 82.14, 123.20 and 30.79

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Solution

The fourth proportional to 82.14, 123.20 and 30.79 is: 46.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.14 : 123.20 = 30.79 : x
  2. Step 2: Convert to fraction form
    82.14/123.20 = 30.79/x
  3. Step 3: Cross multiply
    82.14x = 123.20 × 30.79
  4. Step 4: Simplify right side
    82.14x = 3,793.33
  5. Step 5: Solve for x
    x = 3,793.33/82.14
  6. Step 6: Final answer
    x = 46.18

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