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Finding the Fourth Proportional to 87.36, 130.22 and 83.43

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Solution

The fourth proportional to 87.36, 130.22 and 83.43 is: 124.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.36 : 130.22 = 83.43 : x
  2. Step 2: Convert to fraction form
    87.36/130.22 = 83.43/x
  3. Step 3: Cross multiply
    87.36x = 130.22 × 83.43
  4. Step 4: Simplify right side
    87.36x = 10,863.39
  5. Step 5: Solve for x
    x = 10,863.39/87.36
  6. Step 6: Final answer
    x = 124.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.