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Finding the Fourth Proportional to 122.85, 183.14 and 109.08

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Solution

The fourth proportional to 122.85, 183.14 and 109.08 is: 162.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.85 : 183.14 = 109.08 : x
  2. Step 2: Convert to fraction form
    122.85/183.14 = 109.08/x
  3. Step 3: Cross multiply
    122.85x = 183.14 × 109.08
  4. Step 4: Simplify right side
    122.85x = 19,976.91
  5. Step 5: Solve for x
    x = 19,976.91/122.85
  6. Step 6: Final answer
    x = 162.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.