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Finding the Fourth Proportional to 122.55, 183.84 and 82.05

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Solution

The fourth proportional to 122.55, 183.84 and 82.05 is: 123.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.55 : 183.84 = 82.05 : x
  2. Step 2: Convert to fraction form
    122.55/183.84 = 82.05/x
  3. Step 3: Cross multiply
    122.55x = 183.84 × 82.05
  4. Step 4: Simplify right side
    122.55x = 15,084.07
  5. Step 5: Solve for x
    x = 15,084.07/122.55
  6. Step 6: Final answer
    x = 123.09

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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.