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Finding the Fourth Proportional to 122.42, 183.42 and 109.82

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Solution

The fourth proportional to 122.42, 183.42 and 109.82 is: 164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.42 : 183.42 = 109.82 : x
  2. Step 2: Convert to fraction form
    122.42/183.42 = 109.82/x
  3. Step 3: Cross multiply
    122.42x = 183.42 × 109.82
  4. Step 4: Simplify right side
    122.42x = 20,143.18
  5. Step 5: Solve for x
    x = 20,143.18/122.42
  6. Step 6: Final answer
    x = 164.54

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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.