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Finding the Fourth Proportional to 172.22, 258.34 and 43.97

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Solution

The fourth proportional to 172.22, 258.34 and 43.97 is: 65.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.22 : 258.34 = 43.97 : x
  2. Step 2: Convert to fraction form
    172.22/258.34 = 43.97/x
  3. Step 3: Cross multiply
    172.22x = 258.34 × 43.97
  4. Step 4: Simplify right side
    172.22x = 11,358.99
  5. Step 5: Solve for x
    x = 11,358.99/172.22
  6. Step 6: Final answer
    x = 65.96

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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.