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Finding the Fourth Proportional to 122.85, 184.19 and 82.19

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Solution

The fourth proportional to 122.85, 184.19 and 82.19 is: 123.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.85 : 184.19 = 82.19 : x
  2. Step 2: Convert to fraction form
    122.85/184.19 = 82.19/x
  3. Step 3: Cross multiply
    122.85x = 184.19 × 82.19
  4. Step 4: Simplify right side
    122.85x = 15,137.24
  5. Step 5: Solve for x
    x = 15,137.24/122.85
  6. Step 6: Final answer
    x = 123.22

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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.