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Finding the Fourth Proportional to 67.07, 100.41 and 62.80

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Solution

The fourth proportional to 67.07, 100.41 and 62.80 is: 94.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.07 : 100.41 = 62.80 : x
  2. Step 2: Convert to fraction form
    67.07/100.41 = 62.80/x
  3. Step 3: Cross multiply
    67.07x = 100.41 × 62.80
  4. Step 4: Simplify right side
    67.07x = 6,305.75
  5. Step 5: Solve for x
    x = 6,305.75/67.07
  6. Step 6: Final answer
    x = 94.02

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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.