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Finding the Fourth Proportional to 51.05, 76.56 and 30.71

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Solution

The fourth proportional to 51.05, 76.56 and 30.71 is: 46.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.05 : 76.56 = 30.71 : x
  2. Step 2: Convert to fraction form
    51.05/76.56 = 30.71/x
  3. Step 3: Cross multiply
    51.05x = 76.56 × 30.71
  4. Step 4: Simplify right side
    51.05x = 2,351.16
  5. Step 5: Solve for x
    x = 2,351.16/51.05
  6. Step 6: Final answer
    x = 46.06

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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.