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Finding the Fourth Proportional to 90.93, 136.30 and 36.82

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Solution

The fourth proportional to 90.93, 136.30 and 36.82 is: 55.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.93 : 136.30 = 36.82 : x
  2. Step 2: Convert to fraction form
    90.93/136.30 = 36.82/x
  3. Step 3: Cross multiply
    90.93x = 136.30 × 36.82
  4. Step 4: Simplify right side
    90.93x = 5,018.57
  5. Step 5: Solve for x
    x = 5,018.57/90.93
  6. Step 6: Final answer
    x = 55.19

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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.