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Finding the Fourth Proportional to 171.84, 257.76 and 106.86

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Solution

The fourth proportional to 171.84, 257.76 and 106.86 is: 160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.84 : 257.76 = 106.86 : x
  2. Step 2: Convert to fraction form
    171.84/257.76 = 106.86/x
  3. Step 3: Cross multiply
    171.84x = 257.76 × 106.86
  4. Step 4: Simplify right side
    171.84x = 27,544.23
  5. Step 5: Solve for x
    x = 27,544.23/171.84
  6. Step 6: Final answer
    x = 160.29

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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.