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Finding the Fourth Proportional to 171.87, 257.43 and 106.66

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Solution

The fourth proportional to 171.87, 257.43 and 106.66 is: 159.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.87 : 257.43 = 106.66 : x
  2. Step 2: Convert to fraction form
    171.87/257.43 = 106.66/x
  3. Step 3: Cross multiply
    171.87x = 257.43 × 106.66
  4. Step 4: Simplify right side
    171.87x = 27,457.48
  5. Step 5: Solve for x
    x = 27,457.48/171.87
  6. Step 6: Final answer
    x = 159.76

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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.