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Finding the Fourth Proportional to 67.50, 101.26 and 37.09

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Solution

The fourth proportional to 67.50, 101.26 and 37.09 is: 55.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.50 : 101.26 = 37.09 : x
  2. Step 2: Convert to fraction form
    67.50/101.26 = 37.09/x
  3. Step 3: Cross multiply
    67.50x = 101.26 × 37.09
  4. Step 4: Simplify right side
    67.50x = 3,755.73
  5. Step 5: Solve for x
    x = 3,755.73/67.50
  6. Step 6: Final answer
    x = 55.64

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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.