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Finding the Fourth Proportional to 143.87, 198.47 and 107.02

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Solution

The fourth proportional to 143.87, 198.47 and 107.02 is: 147.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.87 : 198.47 = 107.02 : x
  2. Step 2: Convert to fraction form
    143.87/198.47 = 107.02/x
  3. Step 3: Cross multiply
    143.87x = 198.47 × 107.02
  4. Step 4: Simplify right side
    143.87x = 21,238.73
  5. Step 5: Solve for x
    x = 21,238.73/143.87
  6. Step 6: Final answer
    x = 147.62

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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.