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Finding the Fourth Proportional to 43.38, 64.97 and 35.73

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Solution

The fourth proportional to 43.38, 64.97 and 35.73 is: 53.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.38 : 64.97 = 35.73 : x
  2. Step 2: Convert to fraction form
    43.38/64.97 = 35.73/x
  3. Step 3: Cross multiply
    43.38x = 64.97 × 35.73
  4. Step 4: Simplify right side
    43.38x = 2,321.38
  5. Step 5: Solve for x
    x = 2,321.38/43.38
  6. Step 6: Final answer
    x = 53.51

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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.