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Finding the Fourth Proportional to 122.20, 182.84 and 104.08

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Solution

The fourth proportional to 122.20, 182.84 and 104.08 is: 155.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.20 : 182.84 = 104.08 : x
  2. Step 2: Convert to fraction form
    122.20/182.84 = 104.08/x
  3. Step 3: Cross multiply
    122.20x = 182.84 × 104.08
  4. Step 4: Simplify right side
    122.20x = 19,029.99
  5. Step 5: Solve for x
    x = 19,029.99/122.20
  6. Step 6: Final answer
    x = 155.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.