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Finding the Fourth Proportional to 57.97, 80.02 and 36.18

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Solution

The fourth proportional to 57.97, 80.02 and 36.18 is: 49.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.97 : 80.02 = 36.18 : x
  2. Step 2: Convert to fraction form
    57.97/80.02 = 36.18/x
  3. Step 3: Cross multiply
    57.97x = 80.02 × 36.18
  4. Step 4: Simplify right side
    57.97x = 2,894.97
  5. Step 5: Solve for x
    x = 2,894.97/57.97
  6. Step 6: Final answer
    x = 49.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.