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Finding the Fourth Proportional to 172.09, 257.89 and 106.87

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Solution

The fourth proportional to 172.09, 257.89 and 106.87 is: 160.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.09 : 257.89 = 106.87 : x
  2. Step 2: Convert to fraction form
    172.09/257.89 = 106.87/x
  3. Step 3: Cross multiply
    172.09x = 257.89 × 106.87
  4. Step 4: Simplify right side
    172.09x = 27,560.70
  5. Step 5: Solve for x
    x = 27,560.70/172.09
  6. Step 6: Final answer
    x = 160.15

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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.