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Finding the Fourth Proportional to 143.44, 214.87 and 106.92

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Solution

The fourth proportional to 143.44, 214.87 and 106.92 is: 160.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.44 : 214.87 = 106.92 : x
  2. Step 2: Convert to fraction form
    143.44/214.87 = 106.92/x
  3. Step 3: Cross multiply
    143.44x = 214.87 × 106.92
  4. Step 4: Simplify right side
    143.44x = 22,973.90
  5. Step 5: Solve for x
    x = 22,973.90/143.44
  6. Step 6: Final answer
    x = 160.16

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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.