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Finding the Fourth Proportional to 172.66, 258.94 and 69.92

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Solution

The fourth proportional to 172.66, 258.94 and 69.92 is: 104.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.66 : 258.94 = 69.92 : x
  2. Step 2: Convert to fraction form
    172.66/258.94 = 69.92/x
  3. Step 3: Cross multiply
    172.66x = 258.94 × 69.92
  4. Step 4: Simplify right side
    172.66x = 18,105.08
  5. Step 5: Solve for x
    x = 18,105.08/172.66
  6. Step 6: Final answer
    x = 104.86

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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.