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Finding the Fourth Proportional to 168.03, 231.84 and 105.93

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Solution

The fourth proportional to 168.03, 231.84 and 105.93 is: 146.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.03 : 231.84 = 105.93 : x
  2. Step 2: Convert to fraction form
    168.03/231.84 = 105.93/x
  3. Step 3: Cross multiply
    168.03x = 231.84 × 105.93
  4. Step 4: Simplify right side
    168.03x = 24,558.81
  5. Step 5: Solve for x
    x = 24,558.81/168.03
  6. Step 6: Final answer
    x = 146.16

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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.