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Finding the Fourth Proportional to 143.63, 198.07 and 106.26

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Solution

The fourth proportional to 143.63, 198.07 and 106.26 is: 146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.63 : 198.07 = 106.26 : x
  2. Step 2: Convert to fraction form
    143.63/198.07 = 106.26/x
  3. Step 3: Cross multiply
    143.63x = 198.07 × 106.26
  4. Step 4: Simplify right side
    143.63x = 21,046.92
  5. Step 5: Solve for x
    x = 21,046.92/143.63
  6. Step 6: Final answer
    x = 146.54

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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.