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Finding the Fourth Proportional to 123.38, 185.07 and 82.94

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Solution

The fourth proportional to 123.38, 185.07 and 82.94 is: 124.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.38 : 185.07 = 82.94 : x
  2. Step 2: Convert to fraction form
    123.38/185.07 = 82.94/x
  3. Step 3: Cross multiply
    123.38x = 185.07 × 82.94
  4. Step 4: Simplify right side
    123.38x = 15,349.71
  5. Step 5: Solve for x
    x = 15,349.71/123.38
  6. Step 6: Final answer
    x = 124.41

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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.