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Finding the Fourth Proportional to 51.45, 77.12 and 28.59

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Solution

The fourth proportional to 51.45, 77.12 and 28.59 is: 42.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.45 : 77.12 = 28.59 : x
  2. Step 2: Convert to fraction form
    51.45/77.12 = 28.59/x
  3. Step 3: Cross multiply
    51.45x = 77.12 × 28.59
  4. Step 4: Simplify right side
    51.45x = 2,204.72
  5. Step 5: Solve for x
    x = 2,204.72/51.45
  6. Step 6: Final answer
    x = 42.85

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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.