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Finding the Fourth Proportional to 172.53, 258.90 and 69.86

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Solution

The fourth proportional to 172.53, 258.90 and 69.86 is: 104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.53 : 258.90 = 69.86 : x
  2. Step 2: Convert to fraction form
    172.53/258.90 = 69.86/x
  3. Step 3: Cross multiply
    172.53x = 258.90 × 69.86
  4. Step 4: Simplify right side
    172.53x = 18,087.14
  5. Step 5: Solve for x
    x = 18,087.14/172.53
  6. Step 6: Final answer
    x = 104.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.