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Finding the Fourth Proportional to 106.82, 160.20 and 41.81

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Solution

The fourth proportional to 106.82, 160.20 and 41.81 is: 62.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.82 : 160.20 = 41.81 : x
  2. Step 2: Convert to fraction form
    106.82/160.20 = 41.81/x
  3. Step 3: Cross multiply
    106.82x = 160.20 × 41.81
  4. Step 4: Simplify right side
    106.82x = 6,697.56
  5. Step 5: Solve for x
    x = 6,697.56/106.82
  6. Step 6: Final answer
    x = 62.70

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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.