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Finding the Fourth Proportional to 172.56, 258.82 and 69.82

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Solution

The fourth proportional to 172.56, 258.82 and 69.82 is: 104.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.56 : 258.82 = 69.82 : x
  2. Step 2: Convert to fraction form
    172.56/258.82 = 69.82/x
  3. Step 3: Cross multiply
    172.56x = 258.82 × 69.82
  4. Step 4: Simplify right side
    172.56x = 18,070.81
  5. Step 5: Solve for x
    x = 18,070.81/172.56
  6. Step 6: Final answer
    x = 104.72

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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.