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Finding the Fourth Proportional to 171.26, 236.38 and 105.76

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Solution

The fourth proportional to 171.26, 236.38 and 105.76 is: 145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.26 : 236.38 = 105.76 : x
  2. Step 2: Convert to fraction form
    171.26/236.38 = 105.76/x
  3. Step 3: Cross multiply
    171.26x = 236.38 × 105.76
  4. Step 4: Simplify right side
    171.26x = 24,999.55
  5. Step 5: Solve for x
    x = 24,999.55/171.26
  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.