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Finding the Fourth Proportional to 106.82, 160.09 and 81.07

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Solution

The fourth proportional to 106.82, 160.09 and 81.07 is: 121.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.82 : 160.09 = 81.07 : x
  2. Step 2: Convert to fraction form
    106.82/160.09 = 81.07/x
  3. Step 3: Cross multiply
    106.82x = 160.09 × 81.07
  4. Step 4: Simplify right side
    106.82x = 12,978.35
  5. Step 5: Solve for x
    x = 12,978.35/106.82
  6. Step 6: Final answer
    x = 121.49

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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.