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Finding the Fourth Proportional to 90.91, 136.32 and 33.09

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Solution

The fourth proportional to 90.91, 136.32 and 33.09 is: 49.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.91 : 136.32 = 33.09 : x
  2. Step 2: Convert to fraction form
    90.91/136.32 = 33.09/x
  3. Step 3: Cross multiply
    90.91x = 136.32 × 33.09
  4. Step 4: Simplify right side
    90.91x = 4,511.43
  5. Step 5: Solve for x
    x = 4,511.43/90.91
  6. Step 6: Final answer
    x = 49.62

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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.