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Finding the Fourth Proportional to 123.22, 184.91 and 54.78

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Solution

The fourth proportional to 123.22, 184.91 and 54.78 is: 82.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.22 : 184.91 = 54.78 : x
  2. Step 2: Convert to fraction form
    123.22/184.91 = 54.78/x
  3. Step 3: Cross multiply
    123.22x = 184.91 × 54.78
  4. Step 4: Simplify right side
    123.22x = 10,129.37
  5. Step 5: Solve for x
    x = 10,129.37/123.22
  6. Step 6: Final answer
    x = 82.21

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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.