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Finding the Fourth Proportional to 43.57, 65.42 and 33.49

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Solution

The fourth proportional to 43.57, 65.42 and 33.49 is: 50.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.57 : 65.42 = 33.49 : x
  2. Step 2: Convert to fraction form
    43.57/65.42 = 33.49/x
  3. Step 3: Cross multiply
    43.57x = 65.42 × 33.49
  4. Step 4: Simplify right side
    43.57x = 2,190.92
  5. Step 5: Solve for x
    x = 2,190.92/43.57
  6. Step 6: Final answer
    x = 50.28

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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.