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Finding the Fourth Proportional to 171.86, 237.24 and 105.50

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Solution

The fourth proportional to 171.86, 237.24 and 105.50 is: 145.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.86 : 237.24 = 105.50 : x
  2. Step 2: Convert to fraction form
    171.86/237.24 = 105.50/x
  3. Step 3: Cross multiply
    171.86x = 237.24 × 105.50
  4. Step 4: Simplify right side
    171.86x = 25,028.82
  5. Step 5: Solve for x
    x = 25,028.82/171.86
  6. Step 6: Final answer
    x = 145.63

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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.