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Finding the Fourth Proportional to 82.67, 123.03 and 80.24

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Solution

The fourth proportional to 82.67, 123.03 and 80.24 is: 119.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.67 : 123.03 = 80.24 : x
  2. Step 2: Convert to fraction form
    82.67/123.03 = 80.24/x
  3. Step 3: Cross multiply
    82.67x = 123.03 × 80.24
  4. Step 4: Simplify right side
    82.67x = 9,871.22
  5. Step 5: Solve for x
    x = 9,871.22/82.67
  6. Step 6: Final answer
    x = 119.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.