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Finding the Fourth Proportional to 51.97, 77.95 and 36.71

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Solution

The fourth proportional to 51.97, 77.95 and 36.71 is: 55.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.97 : 77.95 = 36.71 : x
  2. Step 2: Convert to fraction form
    51.97/77.95 = 36.71/x
  3. Step 3: Cross multiply
    51.97x = 77.95 × 36.71
  4. Step 4: Simplify right side
    51.97x = 2,860.97
  5. Step 5: Solve for x
    x = 2,860.97/51.97
  6. Step 6: Final answer
    x = 55.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.