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Finding the Fourth Proportional to 168.87, 232.99 and 109.91

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Solution

The fourth proportional to 168.87, 232.99 and 109.91 is: 151.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.87 : 232.99 = 109.91 : x
  2. Step 2: Convert to fraction form
    168.87/232.99 = 109.91/x
  3. Step 3: Cross multiply
    168.87x = 232.99 × 109.91
  4. Step 4: Simplify right side
    168.87x = 25,607.93
  5. Step 5: Solve for x
    x = 25,607.93/168.87
  6. Step 6: Final answer
    x = 151.64

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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.