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Finding the Fourth Proportional to 122.61, 183.67 and 82.06

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Solution

The fourth proportional to 122.61, 183.67 and 82.06 is: 122.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.61 : 183.67 = 82.06 : x
  2. Step 2: Convert to fraction form
    122.61/183.67 = 82.06/x
  3. Step 3: Cross multiply
    122.61x = 183.67 × 82.06
  4. Step 4: Simplify right side
    122.61x = 15,072.33
  5. Step 5: Solve for x
    x = 15,072.33/122.61
  6. Step 6: Final answer
    x = 122.93

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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.