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Finding the Fourth Proportional to 104.08, 156.09 and 39.08

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Solution

The fourth proportional to 104.08, 156.09 and 39.08 is: 58.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.08 : 156.09 = 39.08 : x
  2. Step 2: Convert to fraction form
    104.08/156.09 = 39.08/x
  3. Step 3: Cross multiply
    104.08x = 156.09 × 39.08
  4. Step 4: Simplify right side
    104.08x = 6,099.56
  5. Step 5: Solve for x
    x = 6,099.56/104.08
  6. Step 6: Final answer
    x = 58.61

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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.