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Finding the Fourth Proportional to 37.95, 52.46 and 36.09

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Solution

The fourth proportional to 37.95, 52.46 and 36.09 is: 49.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.95 : 52.46 = 36.09 : x
  2. Step 2: Convert to fraction form
    37.95/52.46 = 36.09/x
  3. Step 3: Cross multiply
    37.95x = 52.46 × 36.09
  4. Step 4: Simplify right side
    37.95x = 1,893.10
  5. Step 5: Solve for x
    x = 1,893.10/37.95
  6. Step 6: Final answer
    x = 49.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.