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Finding the Fourth Proportional to 171.41, 236.55 and 109.24

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Solution

The fourth proportional to 171.41, 236.55 and 109.24 is: 150.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.41 : 236.55 = 109.24 : x
  2. Step 2: Convert to fraction form
    171.41/236.55 = 109.24/x
  3. Step 3: Cross multiply
    171.41x = 236.55 × 109.24
  4. Step 4: Simplify right side
    171.41x = 25,839.54
  5. Step 5: Solve for x
    x = 25,839.54/171.41
  6. Step 6: Final answer
    x = 150.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.