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Finding the Fourth Proportional to 43.31, 65.00 and 33.71

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Solution

The fourth proportional to 43.31, 65.00 and 33.71 is: 50.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.31 : 65.00 = 33.71 : x
  2. Step 2: Convert to fraction form
    43.31/65.00 = 33.71/x
  3. Step 3: Cross multiply
    43.31x = 65.00 × 33.71
  4. Step 4: Simplify right side
    43.31x = 2,190.98
  5. Step 5: Solve for x
    x = 2,190.98/43.31
  6. Step 6: Final answer
    x = 50.59

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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.