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Finding the Fourth Proportional to 104.26, 156.40 and 68.44

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Solution

The fourth proportional to 104.26, 156.40 and 68.44 is: 102.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.26 : 156.40 = 68.44 : x
  2. Step 2: Convert to fraction form
    104.26/156.40 = 68.44/x
  3. Step 3: Cross multiply
    104.26x = 156.40 × 68.44
  4. Step 4: Simplify right side
    104.26x = 10,704.02
  5. Step 5: Solve for x
    x = 10,704.02/104.26
  6. Step 6: Final answer
    x = 102.67

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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.