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Finding the Fourth Proportional to 123.26, 184.89 and 54.78

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Solution

The fourth proportional to 123.26, 184.89 and 54.78 is: 82.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.26 : 184.89 = 54.78 : x
  2. Step 2: Convert to fraction form
    123.26/184.89 = 54.78/x
  3. Step 3: Cross multiply
    123.26x = 184.89 × 54.78
  4. Step 4: Simplify right side
    123.26x = 10,128.27
  5. Step 5: Solve for x
    x = 10,128.27/123.26
  6. Step 6: Final answer
    x = 82.17

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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.