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Finding the Fourth Proportional to 168.02, 231.77 and 105.80

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Solution

The fourth proportional to 168.02, 231.77 and 105.80 is: 145.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.02 : 231.77 = 105.80 : x
  2. Step 2: Convert to fraction form
    168.02/231.77 = 105.80/x
  3. Step 3: Cross multiply
    168.02x = 231.77 × 105.80
  4. Step 4: Simplify right side
    168.02x = 24,520.74
  5. Step 5: Solve for x
    x = 24,520.74/168.02
  6. Step 6: Final answer
    x = 145.94

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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.