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Finding the Fourth Proportional to 104.04, 143.64 and 80.96

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Solution

The fourth proportional to 104.04, 143.64 and 80.96 is: 111.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.04 : 143.64 = 80.96 : x
  2. Step 2: Convert to fraction form
    104.04/143.64 = 80.96/x
  3. Step 3: Cross multiply
    104.04x = 143.64 × 80.96
  4. Step 4: Simplify right side
    104.04x = 11,629.09
  5. Step 5: Solve for x
    x = 11,629.09/104.04
  6. Step 6: Final answer
    x = 111.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.