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Finding the Fourth Proportional to 87.05, 120.15 and 50.23

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Solution

The fourth proportional to 87.05, 120.15 and 50.23 is: 69.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.05 : 120.15 = 50.23 : x
  2. Step 2: Convert to fraction form
    87.05/120.15 = 50.23/x
  3. Step 3: Cross multiply
    87.05x = 120.15 × 50.23
  4. Step 4: Simplify right side
    87.05x = 6,035.13
  5. Step 5: Solve for x
    x = 6,035.13/87.05
  6. Step 6: Final answer
    x = 69.33

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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.