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Finding the Fourth Proportional to 144.09, 198.56 and 104.61

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Solution

The fourth proportional to 144.09, 198.56 and 104.61 is: 144.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.09 : 198.56 = 104.61 : x
  2. Step 2: Convert to fraction form
    144.09/198.56 = 104.61/x
  3. Step 3: Cross multiply
    144.09x = 198.56 × 104.61
  4. Step 4: Simplify right side
    144.09x = 20,771.36
  5. Step 5: Solve for x
    x = 20,771.36/144.09
  6. Step 6: Final answer
    x = 144.16

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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.