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Finding the Fourth Proportional to 171.97, 257.96 and 75.78

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Solution

The fourth proportional to 171.97, 257.96 and 75.78 is: 113.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.97 : 257.96 = 75.78 : x
  2. Step 2: Convert to fraction form
    171.97/257.96 = 75.78/x
  3. Step 3: Cross multiply
    171.97x = 257.96 × 75.78
  4. Step 4: Simplify right side
    171.97x = 19,548.40
  5. Step 5: Solve for x
    x = 19,548.40/171.97
  6. Step 6: Final answer
    x = 113.67

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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.