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Finding the Fourth Proportional to 122.06, 183.93 and 108.42

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Solution

The fourth proportional to 122.06, 183.93 and 108.42 is: 163.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.06 : 183.93 = 108.42 : x
  2. Step 2: Convert to fraction form
    122.06/183.93 = 108.42/x
  3. Step 3: Cross multiply
    122.06x = 183.93 × 108.42
  4. Step 4: Simplify right side
    122.06x = 19,941.69
  5. Step 5: Solve for x
    x = 19,941.69/122.06
  6. Step 6: Final answer
    x = 163.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.