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Finding the Fourth Proportional to 67.67, 101.56 and 37.25

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Solution

The fourth proportional to 67.67, 101.56 and 37.25 is: 55.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.67 : 101.56 = 37.25 : x
  2. Step 2: Convert to fraction form
    67.67/101.56 = 37.25/x
  3. Step 3: Cross multiply
    67.67x = 101.56 × 37.25
  4. Step 4: Simplify right side
    67.67x = 3,782.60
  5. Step 5: Solve for x
    x = 3,782.60/67.67
  6. Step 6: Final answer
    x = 55.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.