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Finding the Fourth Proportional to 171.58, 257.16 and 83.77

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Solution

The fourth proportional to 171.58, 257.16 and 83.77 is: 125.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.58 : 257.16 = 83.77 : x
  2. Step 2: Convert to fraction form
    171.58/257.16 = 83.77/x
  3. Step 3: Cross multiply
    171.58x = 257.16 × 83.77
  4. Step 4: Simplify right side
    171.58x = 21,542.73
  5. Step 5: Solve for x
    x = 21,542.73/171.58
  6. Step 6: Final answer
    x = 125.56

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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.