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Finding the Fourth Proportional to 65.73, 98.49 and 36.78

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Solution

The fourth proportional to 65.73, 98.49 and 36.78 is: 55.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.73 : 98.49 = 36.78 : x
  2. Step 2: Convert to fraction form
    65.73/98.49 = 36.78/x
  3. Step 3: Cross multiply
    65.73x = 98.49 × 36.78
  4. Step 4: Simplify right side
    65.73x = 3,622.46
  5. Step 5: Solve for x
    x = 3,622.46/65.73
  6. Step 6: Final answer
    x = 55.11

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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.