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Finding the Fourth Proportional to 51.53, 77.31 and 28.71

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Solution

The fourth proportional to 51.53, 77.31 and 28.71 is: 43.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.53 : 77.31 = 28.71 : x
  2. Step 2: Convert to fraction form
    51.53/77.31 = 28.71/x
  3. Step 3: Cross multiply
    51.53x = 77.31 × 28.71
  4. Step 4: Simplify right side
    51.53x = 2,219.57
  5. Step 5: Solve for x
    x = 2,219.57/51.53
  6. Step 6: Final answer
    x = 43.08

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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.