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Finding the Fourth Proportional to 57.94, 80.02 and 39.57

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Solution

The fourth proportional to 57.94, 80.02 and 39.57 is: 54.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.94 : 80.02 = 39.57 : x
  2. Step 2: Convert to fraction form
    57.94/80.02 = 39.57/x
  3. Step 3: Cross multiply
    57.94x = 80.02 × 39.57
  4. Step 4: Simplify right side
    57.94x = 3,166.39
  5. Step 5: Solve for x
    x = 3,166.39/57.94
  6. Step 6: Final answer
    x = 54.65

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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.