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Finding the Fourth Proportional to 43.37, 64.99 and 33.22

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Solution

The fourth proportional to 43.37, 64.99 and 33.22 is: 49.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.37 : 64.99 = 33.22 : x
  2. Step 2: Convert to fraction form
    43.37/64.99 = 33.22/x
  3. Step 3: Cross multiply
    43.37x = 64.99 × 33.22
  4. Step 4: Simplify right side
    43.37x = 2,158.97
  5. Step 5: Solve for x
    x = 2,158.97/43.37
  6. Step 6: Final answer
    x = 49.78

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