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Finding the Fourth Proportional to 90.82, 136.07 and 67.96

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Solution

The fourth proportional to 90.82, 136.07 and 67.96 is: 101.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.82 : 136.07 = 67.96 : x
  2. Step 2: Convert to fraction form
    90.82/136.07 = 67.96/x
  3. Step 3: Cross multiply
    90.82x = 136.07 × 67.96
  4. Step 4: Simplify right side
    90.82x = 9,247.32
  5. Step 5: Solve for x
    x = 9,247.32/90.82
  6. Step 6: Final answer
    x = 101.82

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Why These Related Problems?

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