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Finding the Fourth Proportional to 51.37, 77.05 and 33.04

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Solution

The fourth proportional to 51.37, 77.05 and 33.04 is: 49.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.37 : 77.05 = 33.04 : x
  2. Step 2: Convert to fraction form
    51.37/77.05 = 33.04/x
  3. Step 3: Cross multiply
    51.37x = 77.05 × 33.04
  4. Step 4: Simplify right side
    51.37x = 2,545.87
  5. Step 5: Solve for x
    x = 2,545.87/51.37
  6. Step 6: Final answer
    x = 49.56

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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.