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Finding the Fourth Proportional to 77.78, 116.71 and 34.46

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Solution

The fourth proportional to 77.78, 116.71 and 34.46 is: 51.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.78 : 116.71 = 34.46 : x
  2. Step 2: Convert to fraction form
    77.78/116.71 = 34.46/x
  3. Step 3: Cross multiply
    77.78x = 116.71 × 34.46
  4. Step 4: Simplify right side
    77.78x = 4,022.03
  5. Step 5: Solve for x
    x = 4,022.03/77.78
  6. Step 6: Final answer
    x = 51.71

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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.