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Finding the Fourth Proportional to 171.72, 257.08 and 110.76

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Solution

The fourth proportional to 171.72, 257.08 and 110.76 is: 165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.72 : 257.08 = 110.76 : x
  2. Step 2: Convert to fraction form
    171.72/257.08 = 110.76/x
  3. Step 3: Cross multiply
    171.72x = 257.08 × 110.76
  4. Step 4: Simplify right side
    171.72x = 28,474.18
  5. Step 5: Solve for x
    x = 28,474.18/171.72
  6. Step 6: Final answer
    x = 165.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.