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Finding the Fourth Proportional to 75.82, 113.78 and 51.46

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Solution

The fourth proportional to 75.82, 113.78 and 51.46 is: 77.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.82 : 113.78 = 51.46 : x
  2. Step 2: Convert to fraction form
    75.82/113.78 = 51.46/x
  3. Step 3: Cross multiply
    75.82x = 113.78 × 51.46
  4. Step 4: Simplify right side
    75.82x = 5,854.58
  5. Step 5: Solve for x
    x = 5,854.58/75.82
  6. Step 6: Final answer
    x = 77.22

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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.