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Finding the Fourth Proportional to 87.36, 130.83 and 82.29

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Solution

The fourth proportional to 87.36, 130.83 and 82.29 is: 123.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.36 : 130.83 = 82.29 : x
  2. Step 2: Convert to fraction form
    87.36/130.83 = 82.29/x
  3. Step 3: Cross multiply
    87.36x = 130.83 × 82.29
  4. Step 4: Simplify right side
    87.36x = 10,766.00
  5. Step 5: Solve for x
    x = 10,766.00/87.36
  6. Step 6: Final answer
    x = 123.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.