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Finding the Fourth Proportional to 104.09, 144.63 and 102.96

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Solution

The fourth proportional to 104.09, 144.63 and 102.96 is: 143.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.09 : 144.63 = 102.96 : x
  2. Step 2: Convert to fraction form
    104.09/144.63 = 102.96/x
  3. Step 3: Cross multiply
    104.09x = 144.63 × 102.96
  4. Step 4: Simplify right side
    104.09x = 14,891.10
  5. Step 5: Solve for x
    x = 14,891.10/104.09
  6. Step 6: Final answer
    x = 143.07

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.