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Finding the Fourth Proportional to 51.56, 77.23 and 31.28

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Solution

The fourth proportional to 51.56, 77.23 and 31.28 is: 46.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.56 : 77.23 = 31.28 : x
  2. Step 2: Convert to fraction form
    51.56/77.23 = 31.28/x
  3. Step 3: Cross multiply
    51.56x = 77.23 × 31.28
  4. Step 4: Simplify right side
    51.56x = 2,415.75
  5. Step 5: Solve for x
    x = 2,415.75/51.56
  6. Step 6: Final answer
    x = 46.85

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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.