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Finding the Fourth Proportional to 106.81, 160.38 and 89.82

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Solution

The fourth proportional to 106.81, 160.38 and 89.82 is: 134.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.81 : 160.38 = 89.82 : x
  2. Step 2: Convert to fraction form
    106.81/160.38 = 89.82/x
  3. Step 3: Cross multiply
    106.81x = 160.38 × 89.82
  4. Step 4: Simplify right side
    106.81x = 14,405.33
  5. Step 5: Solve for x
    x = 14,405.33/106.81
  6. Step 6: Final answer
    x = 134.87

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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.