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Finding the Fourth Proportional to 171.35, 257.05 and 55.77

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Solution

The fourth proportional to 171.35, 257.05 and 55.77 is: 83.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.35 : 257.05 = 55.77 : x
  2. Step 2: Convert to fraction form
    171.35/257.05 = 55.77/x
  3. Step 3: Cross multiply
    171.35x = 257.05 × 55.77
  4. Step 4: Simplify right side
    171.35x = 14,335.68
  5. Step 5: Solve for x
    x = 14,335.68/171.35
  6. Step 6: Final answer
    x = 83.66

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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.