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Finding the Fourth Proportional to 143.29, 214.71 and 107.25

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Solution

The fourth proportional to 143.29, 214.71 and 107.25 is: 160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.29 : 214.71 = 107.25 : x
  2. Step 2: Convert to fraction form
    143.29/214.71 = 107.25/x
  3. Step 3: Cross multiply
    143.29x = 214.71 × 107.25
  4. Step 4: Simplify right side
    143.29x = 23,027.65
  5. Step 5: Solve for x
    x = 23,027.65/143.29
  6. Step 6: Final answer
    x = 160.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.