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Finding the Fourth Proportional to 171.94, 257.77 and 75.82

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Solution

The fourth proportional to 171.94, 257.77 and 75.82 is: 113.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.94 : 257.77 = 75.82 : x
  2. Step 2: Convert to fraction form
    171.94/257.77 = 75.82/x
  3. Step 3: Cross multiply
    171.94x = 257.77 × 75.82
  4. Step 4: Simplify right side
    171.94x = 19,544.12
  5. Step 5: Solve for x
    x = 19,544.12/171.94
  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.