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Finding the Fourth Proportional to 144.09, 198.86 and 88.83

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Solution

The fourth proportional to 144.09, 198.86 and 88.83 is: 122.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.09 : 198.86 = 88.83 : x
  2. Step 2: Convert to fraction form
    144.09/198.86 = 88.83/x
  3. Step 3: Cross multiply
    144.09x = 198.86 × 88.83
  4. Step 4: Simplify right side
    144.09x = 17,664.73
  5. Step 5: Solve for x
    x = 17,664.73/144.09
  6. Step 6: Final answer
    x = 122.60

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Why These Related Problems?

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