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Finding the Fourth Proportional to 172.43, 258.63 and 69.66

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Solution

The fourth proportional to 172.43, 258.63 and 69.66 is: 104.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.43 : 258.63 = 69.66 : x
  2. Step 2: Convert to fraction form
    172.43/258.63 = 69.66/x
  3. Step 3: Cross multiply
    172.43x = 258.63 × 69.66
  4. Step 4: Simplify right side
    172.43x = 18,015.90
  5. Step 5: Solve for x
    x = 18,015.90/172.43
  6. Step 6: Final answer
    x = 104.48

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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.