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Finding the Fourth Proportional to 81.84, 122.82 and 45.78

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Solution

The fourth proportional to 81.84, 122.82 and 45.78 is: 68.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.84 : 122.82 = 45.78 : x
  2. Step 2: Convert to fraction form
    81.84/122.82 = 45.78/x
  3. Step 3: Cross multiply
    81.84x = 122.82 × 45.78
  4. Step 4: Simplify right side
    81.84x = 5,622.70
  5. Step 5: Solve for x
    x = 5,622.70/81.84
  6. Step 6: Final answer
    x = 68.70

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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.