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Finding the Fourth Proportional to 128.48, 192.39 and 122.09

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Solution

The fourth proportional to 128.48, 192.39 and 122.09 is: 182.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.48 : 192.39 = 122.09 : x
  2. Step 2: Convert to fraction form
    128.48/192.39 = 122.09/x
  3. Step 3: Cross multiply
    128.48x = 192.39 × 122.09
  4. Step 4: Simplify right side
    128.48x = 23,487.93
  5. Step 5: Solve for x
    x = 23,487.93/128.48
  6. Step 6: Final answer
    x = 182.82

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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.