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Finding the Fourth Proportional to 104.83, 156.20 and 98.96

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Solution

The fourth proportional to 104.83, 156.20 and 98.96 is: 147.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.83 : 156.20 = 98.96 : x
  2. Step 2: Convert to fraction form
    104.83/156.20 = 98.96/x
  3. Step 3: Cross multiply
    104.83x = 156.20 × 98.96
  4. Step 4: Simplify right side
    104.83x = 15,456.28
  5. Step 5: Solve for x
    x = 15,456.28/104.83
  6. Step 6: Final answer
    x = 147.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.