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Finding the Fourth Proportional to 106.81, 160.07 and 80.93

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Solution

The fourth proportional to 106.81, 160.07 and 80.93 is: 121.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.81 : 160.07 = 80.93 : x
  2. Step 2: Convert to fraction form
    106.81/160.07 = 80.93/x
  3. Step 3: Cross multiply
    106.81x = 160.07 × 80.93
  4. Step 4: Simplify right side
    106.81x = 12,954.46
  5. Step 5: Solve for x
    x = 12,954.46/106.81
  6. Step 6: Final answer
    x = 121.29

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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.