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Finding the Fourth Proportional to 171.83, 257.83 and 106.94

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Solution

The fourth proportional to 171.83, 257.83 and 106.94 is: 160.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.83 : 257.83 = 106.94 : x
  2. Step 2: Convert to fraction form
    171.83/257.83 = 106.94/x
  3. Step 3: Cross multiply
    171.83x = 257.83 × 106.94
  4. Step 4: Simplify right side
    171.83x = 27,570.78
  5. Step 5: Solve for x
    x = 27,570.78/171.83
  6. Step 6: Final answer
    x = 160.45

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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.