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Finding the Fourth Proportional to 122.42, 183.77 and 120.53

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Solution

The fourth proportional to 122.42, 183.77 and 120.53 is: 180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.42 : 183.77 = 120.53 : x
  2. Step 2: Convert to fraction form
    122.42/183.77 = 120.53/x
  3. Step 3: Cross multiply
    122.42x = 183.77 × 120.53
  4. Step 4: Simplify right side
    122.42x = 22,149.80
  5. Step 5: Solve for x
    x = 22,149.80/122.42
  6. Step 6: Final answer
    x = 180.93

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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.