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Finding the Fourth Proportional to 171.68, 257.61 and 113.76

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Solution

The fourth proportional to 171.68, 257.61 and 113.76 is: 170.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.68 : 257.61 = 113.76 : x
  2. Step 2: Convert to fraction form
    171.68/257.61 = 113.76/x
  3. Step 3: Cross multiply
    171.68x = 257.61 × 113.76
  4. Step 4: Simplify right side
    171.68x = 29,305.71
  5. Step 5: Solve for x
    x = 29,305.71/171.68
  6. Step 6: Final answer
    x = 170.70

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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.