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Finding the Fourth Proportional to 143.77, 198.59 and 107.11

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Solution

The fourth proportional to 143.77, 198.59 and 107.11 is: 147.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.77 : 198.59 = 107.11 : x
  2. Step 2: Convert to fraction form
    143.77/198.59 = 107.11/x
  3. Step 3: Cross multiply
    143.77x = 198.59 × 107.11
  4. Step 4: Simplify right side
    143.77x = 21,270.97
  5. Step 5: Solve for x
    x = 21,270.97/143.77
  6. Step 6: Final answer
    x = 147.95

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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.