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Finding the Fourth Proportional to 143.07, 214.17 and 106.41

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Solution

The fourth proportional to 143.07, 214.17 and 106.41 is: 159.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.07 : 214.17 = 106.41 : x
  2. Step 2: Convert to fraction form
    143.07/214.17 = 106.41/x
  3. Step 3: Cross multiply
    143.07x = 214.17 × 106.41
  4. Step 4: Simplify right side
    143.07x = 22,789.83
  5. Step 5: Solve for x
    x = 22,789.83/143.07
  6. Step 6: Final answer
    x = 159.29

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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.