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Finding the Fourth Proportional to 104.42, 156.46 and 80.02

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Solution

The fourth proportional to 104.42, 156.46 and 80.02 is: 119.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.42 : 156.46 = 80.02 : x
  2. Step 2: Convert to fraction form
    104.42/156.46 = 80.02/x
  3. Step 3: Cross multiply
    104.42x = 156.46 × 80.02
  4. Step 4: Simplify right side
    104.42x = 12,519.92
  5. Step 5: Solve for x
    x = 12,519.92/104.42
  6. Step 6: Final answer
    x = 119.90

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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.