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Finding the Fourth Proportional to 171.20, 236.32 and 105.75

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Solution

The fourth proportional to 171.20, 236.32 and 105.75 is: 145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.20 : 236.32 = 105.75 : x
  2. Step 2: Convert to fraction form
    171.20/236.32 = 105.75/x
  3. Step 3: Cross multiply
    171.20x = 236.32 × 105.75
  4. Step 4: Simplify right side
    171.20x = 24,990.58
  5. Step 5: Solve for x
    x = 24,990.58/171.20
  6. Step 6: Final answer
    x = 145.97

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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.