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Finding the Fourth Proportional to 168.87, 232.96 and 98.93

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Solution

The fourth proportional to 168.87, 232.96 and 98.93 is: 136.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.87 : 232.96 = 98.93 : x
  2. Step 2: Convert to fraction form
    168.87/232.96 = 98.93/x
  3. Step 3: Cross multiply
    168.87x = 232.96 × 98.93
  4. Step 4: Simplify right side
    168.87x = 23,045.66
  5. Step 5: Solve for x
    x = 23,045.66/168.87
  6. Step 6: Final answer
    x = 136.47

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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.