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Finding the Fourth Proportional to 144.42, 199.26 and 105.54

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Solution

The fourth proportional to 144.42, 199.26 and 105.54 is: 145.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.42 : 199.26 = 105.54 : x
  2. Step 2: Convert to fraction form
    144.42/199.26 = 105.54/x
  3. Step 3: Cross multiply
    144.42x = 199.26 × 105.54
  4. Step 4: Simplify right side
    144.42x = 21,029.90
  5. Step 5: Solve for x
    x = 21,029.90/144.42
  6. Step 6: Final answer
    x = 145.62

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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.