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Finding the Fourth Proportional to 67.62, 100.74 and 64.50

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Solution

The fourth proportional to 67.62, 100.74 and 64.50 is: 96.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.62 : 100.74 = 64.50 : x
  2. Step 2: Convert to fraction form
    67.62/100.74 = 64.50/x
  3. Step 3: Cross multiply
    67.62x = 100.74 × 64.50
  4. Step 4: Simplify right side
    67.62x = 6,497.73
  5. Step 5: Solve for x
    x = 6,497.73/67.62
  6. Step 6: Final answer
    x = 96.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.