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Finding the Fourth Proportional to 73.97, 110.84 and 65.82

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Solution

The fourth proportional to 73.97, 110.84 and 65.82 is: 98.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.97 : 110.84 = 65.82 : x
  2. Step 2: Convert to fraction form
    73.97/110.84 = 65.82/x
  3. Step 3: Cross multiply
    73.97x = 110.84 × 65.82
  4. Step 4: Simplify right side
    73.97x = 7,295.16
  5. Step 5: Solve for x
    x = 7,295.16/73.97
  6. Step 6: Final answer
    x = 98.63

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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.