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Finding the Fourth Proportional to 104.02, 143.73 and 83.47

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Solution

The fourth proportional to 104.02, 143.73 and 83.47 is: 115.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.02 : 143.73 = 83.47 : x
  2. Step 2: Convert to fraction form
    104.02/143.73 = 83.47/x
  3. Step 3: Cross multiply
    104.02x = 143.73 × 83.47
  4. Step 4: Simplify right side
    104.02x = 11,996.42
  5. Step 5: Solve for x
    x = 11,996.42/104.02
  6. Step 6: Final answer
    x = 115.33

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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.