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Finding the Fourth Proportional to 171.73, 257.13 and 110.68

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Solution

The fourth proportional to 171.73, 257.13 and 110.68 is: 165.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.73 : 257.13 = 110.68 : x
  2. Step 2: Convert to fraction form
    171.73/257.13 = 110.68/x
  3. Step 3: Cross multiply
    171.73x = 257.13 × 110.68
  4. Step 4: Simplify right side
    171.73x = 28,457.86
  5. Step 5: Solve for x
    x = 28,457.86/171.73
  6. Step 6: Final answer
    x = 165.72

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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.