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Finding the Fourth Proportional to 51.54, 77.09 and 40.70

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Solution

The fourth proportional to 51.54, 77.09 and 40.70 is: 60.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.54 : 77.09 = 40.70 : x
  2. Step 2: Convert to fraction form
    51.54/77.09 = 40.70/x
  3. Step 3: Cross multiply
    51.54x = 77.09 × 40.70
  4. Step 4: Simplify right side
    51.54x = 3,137.55
  5. Step 5: Solve for x
    x = 3,137.55/51.54
  6. Step 6: Final answer
    x = 60.88

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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.