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Finding the Fourth Proportional to 67.00, 100.50 and 38.44

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Solution

The fourth proportional to 67.00, 100.50 and 38.44 is: 57.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.00 : 100.50 = 38.44 : x
  2. Step 2: Convert to fraction form
    67.00/100.50 = 38.44/x
  3. Step 3: Cross multiply
    67.00x = 100.50 × 38.44
  4. Step 4: Simplify right side
    67.00x = 3,862.97
  5. Step 5: Solve for x
    x = 3,862.97/67.00
  6. Step 6: Final answer
    x = 57.66

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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.