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Finding the Fourth Proportional to 143.31, 214.65 and 106.86

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Solution

The fourth proportional to 143.31, 214.65 and 106.86 is: 160.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.31 : 214.65 = 106.86 : x
  2. Step 2: Convert to fraction form
    143.31/214.65 = 106.86/x
  3. Step 3: Cross multiply
    143.31x = 214.65 × 106.86
  4. Step 4: Simplify right side
    143.31x = 22,937.50
  5. Step 5: Solve for x
    x = 22,937.50/143.31
  6. Step 6: Final answer
    x = 160.06

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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.