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Finding the Fourth Proportional to 75.97, 114.02 and 51.94

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Solution

The fourth proportional to 75.97, 114.02 and 51.94 is: 77.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.97 : 114.02 = 51.94 : x
  2. Step 2: Convert to fraction form
    75.97/114.02 = 51.94/x
  3. Step 3: Cross multiply
    75.97x = 114.02 × 51.94
  4. Step 4: Simplify right side
    75.97x = 5,921.91
  5. Step 5: Solve for x
    x = 5,921.91/75.97
  6. Step 6: Final answer
    x = 77.95

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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.