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Finding the Fourth Proportional to 87, 120.05 and 50.15

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Solution

The fourth proportional to 87, 120.05 and 50.15 is: 69.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    87 : 120.05 = 50.15 : x
  2. Step 2: Convert to fraction form
    87/120.05 = 50.15/x
  3. Step 3: Cross multiply
    87x = 120.05 × 50.15
  4. Step 4: Simplify right side
    87x = 6,020.51
  5. Step 5: Solve for x
    x = 6,020.51/87
  6. Step 6: Final answer
    x = 69.20

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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.