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Finding the Fourth Proportional to 82.14, 123.03 and 61.79

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Solution

The fourth proportional to 82.14, 123.03 and 61.79 is: 92.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.14 : 123.03 = 61.79 : x
  2. Step 2: Convert to fraction form
    82.14/123.03 = 61.79/x
  3. Step 3: Cross multiply
    82.14x = 123.03 × 61.79
  4. Step 4: Simplify right side
    82.14x = 7,601.41
  5. Step 5: Solve for x
    x = 7,601.41/82.14
  6. Step 6: Final answer
    x = 92.54

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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.