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Finding the Fourth Proportional to 171.14, 256.61 and 84.28

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Solution

The fourth proportional to 171.14, 256.61 and 84.28 is: 126.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.14 : 256.61 = 84.28 : x
  2. Step 2: Convert to fraction form
    171.14/256.61 = 84.28/x
  3. Step 3: Cross multiply
    171.14x = 256.61 × 84.28
  4. Step 4: Simplify right side
    171.14x = 21,627.09
  5. Step 5: Solve for x
    x = 21,627.09/171.14
  6. Step 6: Final answer
    x = 126.37

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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.