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Finding the Fourth Proportional to 50.97, 76.57 and 35.71

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Solution

The fourth proportional to 50.97, 76.57 and 35.71 is: 53.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.97 : 76.57 = 35.71 : x
  2. Step 2: Convert to fraction form
    50.97/76.57 = 35.71/x
  3. Step 3: Cross multiply
    50.97x = 76.57 × 35.71
  4. Step 4: Simplify right side
    50.97x = 2,734.03
  5. Step 5: Solve for x
    x = 2,734.03/50.97
  6. Step 6: Final answer
    x = 53.64

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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.