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Finding the Fourth Proportional to 144.52, 199.56 and 122.44

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Solution

The fourth proportional to 144.52, 199.56 and 122.44 is: 169.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.52 : 199.56 = 122.44 : x
  2. Step 2: Convert to fraction form
    144.52/199.56 = 122.44/x
  3. Step 3: Cross multiply
    144.52x = 199.56 × 122.44
  4. Step 4: Simplify right side
    144.52x = 24,434.13
  5. Step 5: Solve for x
    x = 24,434.13/144.52
  6. Step 6: Final answer
    x = 169.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.