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Finding the Fourth Proportional to 37.89, 52.16 and 33.99

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Solution

The fourth proportional to 37.89, 52.16 and 33.99 is: 46.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.89 : 52.16 = 33.99 : x
  2. Step 2: Convert to fraction form
    37.89/52.16 = 33.99/x
  3. Step 3: Cross multiply
    37.89x = 52.16 × 33.99
  4. Step 4: Simplify right side
    37.89x = 1,772.75
  5. Step 5: Solve for x
    x = 1,772.75/37.89
  6. Step 6: Final answer
    x = 46.79

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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.