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Finding the Fourth Proportional to 122.86, 183.97 and 109.79

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Solution

The fourth proportional to 122.86, 183.97 and 109.79 is: 164.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.86 : 183.97 = 109.79 : x
  2. Step 2: Convert to fraction form
    122.86/183.97 = 109.79/x
  3. Step 3: Cross multiply
    122.86x = 183.97 × 109.79
  4. Step 4: Simplify right side
    122.86x = 20,198.07
  5. Step 5: Solve for x
    x = 20,198.07/122.86
  6. Step 6: Final answer
    x = 164.40

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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.