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Finding the Fourth Proportional to 171.39, 256.41 and 106.46

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Solution

The fourth proportional to 171.39, 256.41 and 106.46 is: 159.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.39 : 256.41 = 106.46 : x
  2. Step 2: Convert to fraction form
    171.39/256.41 = 106.46/x
  3. Step 3: Cross multiply
    171.39x = 256.41 × 106.46
  4. Step 4: Simplify right side
    171.39x = 27,296.13
  5. Step 5: Solve for x
    x = 27,296.13/171.39
  6. Step 6: Final answer
    x = 159.26

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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.