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Finding the Fourth Proportional to 122.22, 183.37 and 49.12

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Solution

The fourth proportional to 122.22, 183.37 and 49.12 is: 73.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.22 : 183.37 = 49.12 : x
  2. Step 2: Convert to fraction form
    122.22/183.37 = 49.12/x
  3. Step 3: Cross multiply
    122.22x = 183.37 × 49.12
  4. Step 4: Simplify right side
    122.22x = 9,007.01
  5. Step 5: Solve for x
    x = 9,007.01/122.22
  6. Step 6: Final answer
    x = 73.69

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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.