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Finding the Fourth Proportional to 171, 256.38 and 55.39

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Solution

The fourth proportional to 171, 256.38 and 55.39 is: 83.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    171 : 256.38 = 55.39 : x
  2. Step 2: Convert to fraction form
    171/256.38 = 55.39/x
  3. Step 3: Cross multiply
    171x = 256.38 × 55.39
  4. Step 4: Simplify right side
    171x = 14,200.89
  5. Step 5: Solve for x
    x = 14,200.89/171
  6. Step 6: Final answer
    x = 83.05

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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.