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Finding the Fourth Proportional to 90.20, 134.41 and 86.12

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Solution

The fourth proportional to 90.20, 134.41 and 86.12 is: 128.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.20 : 134.41 = 86.12 : x
  2. Step 2: Convert to fraction form
    90.20/134.41 = 86.12/x
  3. Step 3: Cross multiply
    90.20x = 134.41 × 86.12
  4. Step 4: Simplify right side
    90.20x = 11,575.39
  5. Step 5: Solve for x
    x = 11,575.39/90.20
  6. Step 6: Final answer
    x = 128.33

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Why These Related Problems?

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