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Finding the Fourth Proportional to 168.16, 231.99 and 112.21

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Solution

The fourth proportional to 168.16, 231.99 and 112.21 is: 154.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.16 : 231.99 = 112.21 : x
  2. Step 2: Convert to fraction form
    168.16/231.99 = 112.21/x
  3. Step 3: Cross multiply
    168.16x = 231.99 × 112.21
  4. Step 4: Simplify right side
    168.16x = 26,031.60
  5. Step 5: Solve for x
    x = 26,031.60/168.16
  6. Step 6: Final answer
    x = 154.80

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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.