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Finding the Fourth Proportional to 65.82, 98.76 and 33.78

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Solution

The fourth proportional to 65.82, 98.76 and 33.78 is: 50.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.82 : 98.76 = 33.78 : x
  2. Step 2: Convert to fraction form
    65.82/98.76 = 33.78/x
  3. Step 3: Cross multiply
    65.82x = 98.76 × 33.78
  4. Step 4: Simplify right side
    65.82x = 3,336.11
  5. Step 5: Solve for x
    x = 3,336.11/65.82
  6. Step 6: Final answer
    x = 50.69

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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.