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Finding the Fourth Proportional to 104.05, 143.62 and 71.31

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Solution

The fourth proportional to 104.05, 143.62 and 71.31 is: 98.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.05 : 143.62 = 71.31 : x
  2. Step 2: Convert to fraction form
    104.05/143.62 = 71.31/x
  3. Step 3: Cross multiply
    104.05x = 143.62 × 71.31
  4. Step 4: Simplify right side
    104.05x = 10,241.36
  5. Step 5: Solve for x
    x = 10,241.36/104.05
  6. Step 6: Final answer
    x = 98.43

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