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Finding the Fourth Proportional to 67.14, 100.74 and 41.42

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Solution

The fourth proportional to 67.14, 100.74 and 41.42 is: 62.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.14 : 100.74 = 41.42 : x
  2. Step 2: Convert to fraction form
    67.14/100.74 = 41.42/x
  3. Step 3: Cross multiply
    67.14x = 100.74 × 41.42
  4. Step 4: Simplify right side
    67.14x = 4,172.82
  5. Step 5: Solve for x
    x = 4,172.82/67.14
  6. Step 6: Final answer
    x = 62.15

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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.