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Finding the Fourth Proportional to 36.31, 49.82 and 32.83

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Solution

The fourth proportional to 36.31, 49.82 and 32.83 is: 45.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.31 : 49.82 = 32.83 : x
  2. Step 2: Convert to fraction form
    36.31/49.82 = 32.83/x
  3. Step 3: Cross multiply
    36.31x = 49.82 × 32.83
  4. Step 4: Simplify right side
    36.31x = 1,635.59
  5. Step 5: Solve for x
    x = 1,635.59/36.31
  6. Step 6: Final answer
    x = 45.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.