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Finding the Fourth Proportional to 168.17, 231.93 and 112.84

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Solution

The fourth proportional to 168.17, 231.93 and 112.84 is: 155.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.17 : 231.93 = 112.84 : x
  2. Step 2: Convert to fraction form
    168.17/231.93 = 112.84/x
  3. Step 3: Cross multiply
    168.17x = 231.93 × 112.84
  4. Step 4: Simplify right side
    168.17x = 26,170.40
  5. Step 5: Solve for x
    x = 26,170.40/168.17
  6. Step 6: Final answer
    x = 155.62

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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.