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Finding the Fourth Proportional to 106.65, 158.96 and 95.85

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Solution

The fourth proportional to 106.65, 158.96 and 95.85 is: 142.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.65 : 158.96 = 95.85 : x
  2. Step 2: Convert to fraction form
    106.65/158.96 = 95.85/x
  3. Step 3: Cross multiply
    106.65x = 158.96 × 95.85
  4. Step 4: Simplify right side
    106.65x = 15,236.56
  5. Step 5: Solve for x
    x = 15,236.56/106.65
  6. Step 6: Final answer
    x = 142.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.