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Finding the Fourth Proportional to 168.06, 231.90 and 105.84

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Solution

The fourth proportional to 168.06, 231.90 and 105.84 is: 146.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.06 : 231.90 = 105.84 : x
  2. Step 2: Convert to fraction form
    168.06/231.90 = 105.84/x
  3. Step 3: Cross multiply
    168.06x = 231.90 × 105.84
  4. Step 4: Simplify right side
    168.06x = 24,544.30
  5. Step 5: Solve for x
    x = 24,544.30/168.06
  6. Step 6: Final answer
    x = 146.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.