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Finding the Fourth Proportional to 82.28, 123.28 and 41.67

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Solution

The fourth proportional to 82.28, 123.28 and 41.67 is: 62.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.28 : 123.28 = 41.67 : x
  2. Step 2: Convert to fraction form
    82.28/123.28 = 41.67/x
  3. Step 3: Cross multiply
    82.28x = 123.28 × 41.67
  4. Step 4: Simplify right side
    82.28x = 5,136.97
  5. Step 5: Solve for x
    x = 5,136.97/82.28
  6. Step 6: Final answer
    x = 62.43

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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.