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Finding the Fourth Proportional to 169.82, 234.37 and 99.87

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Solution

The fourth proportional to 169.82, 234.37 and 99.87 is: 137.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.82 : 234.37 = 99.87 : x
  2. Step 2: Convert to fraction form
    169.82/234.37 = 99.87/x
  3. Step 3: Cross multiply
    169.82x = 234.37 × 99.87
  4. Step 4: Simplify right side
    169.82x = 23,406.28
  5. Step 5: Solve for x
    x = 23,406.28/169.82
  6. Step 6: Final answer
    x = 137.83

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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.