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Finding the Fourth Proportional to 67.75, 102.23 and 65.48

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Solution

The fourth proportional to 67.75, 102.23 and 65.48 is: 98.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.75 : 102.23 = 65.48 : x
  2. Step 2: Convert to fraction form
    67.75/102.23 = 65.48/x
  3. Step 3: Cross multiply
    67.75x = 102.23 × 65.48
  4. Step 4: Simplify right side
    67.75x = 6,694.44
  5. Step 5: Solve for x
    x = 6,694.44/67.75
  6. Step 6: Final answer
    x = 98.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.