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Finding the Fourth Proportional to 122.64, 183.87 and 82.08

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Solution

The fourth proportional to 122.64, 183.87 and 82.08 is: 123.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.64 : 183.87 = 82.08 : x
  2. Step 2: Convert to fraction form
    122.64/183.87 = 82.08/x
  3. Step 3: Cross multiply
    122.64x = 183.87 × 82.08
  4. Step 4: Simplify right side
    122.64x = 15,092.05
  5. Step 5: Solve for x
    x = 15,092.05/122.64
  6. Step 6: Final answer
    x = 123.06

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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.