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Finding the Fourth Proportional to 171.96, 257.82 and 99.96

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Solution

The fourth proportional to 171.96, 257.82 and 99.96 is: 149.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.96 : 257.82 = 99.96 : x
  2. Step 2: Convert to fraction form
    171.96/257.82 = 99.96/x
  3. Step 3: Cross multiply
    171.96x = 257.82 × 99.96
  4. Step 4: Simplify right side
    171.96x = 25,771.69
  5. Step 5: Solve for x
    x = 25,771.69/171.96
  6. Step 6: Final answer
    x = 149.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.