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Finding the Fourth Proportional to 168.59, 232.75 and 116.21

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Solution

The fourth proportional to 168.59, 232.75 and 116.21 is: 160.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.59 : 232.75 = 116.21 : x
  2. Step 2: Convert to fraction form
    168.59/232.75 = 116.21/x
  3. Step 3: Cross multiply
    168.59x = 232.75 × 116.21
  4. Step 4: Simplify right side
    168.59x = 27,047.88
  5. Step 5: Solve for x
    x = 27,047.88/168.59
  6. Step 6: Final answer
    x = 160.44

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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.