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Finding the Fourth Proportional to 51.15, 77.17 and 50.74

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Solution

The fourth proportional to 51.15, 77.17 and 50.74 is: 76.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.15 : 77.17 = 50.74 : x
  2. Step 2: Convert to fraction form
    51.15/77.17 = 50.74/x
  3. Step 3: Cross multiply
    51.15x = 77.17 × 50.74
  4. Step 4: Simplify right side
    51.15x = 3,915.61
  5. Step 5: Solve for x
    x = 3,915.61/51.15
  6. Step 6: Final answer
    x = 76.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.