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Finding the Fourth Proportional to 77.84, 116.82 and 50.84

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Solution

The fourth proportional to 77.84, 116.82 and 50.84 is: 76.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.84 : 116.82 = 50.84 : x
  2. Step 2: Convert to fraction form
    77.84/116.82 = 50.84/x
  3. Step 3: Cross multiply
    77.84x = 116.82 × 50.84
  4. Step 4: Simplify right side
    77.84x = 5,939.13
  5. Step 5: Solve for x
    x = 5,939.13/77.84
  6. Step 6: Final answer
    x = 76.30

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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.