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Finding the Fourth Proportional to 51.57, 77.22 and 34.47

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Solution

The fourth proportional to 51.57, 77.22 and 34.47 is: 51.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.57 : 77.22 = 34.47 : x
  2. Step 2: Convert to fraction form
    51.57/77.22 = 34.47/x
  3. Step 3: Cross multiply
    51.57x = 77.22 × 34.47
  4. Step 4: Simplify right side
    51.57x = 2,661.77
  5. Step 5: Solve for x
    x = 2,661.77/51.57
  6. Step 6: Final answer
    x = 51.61

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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.