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Finding the Fourth Proportional to 37.20, 56 and 33.84

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Solution

The fourth proportional to 37.20, 56 and 33.84 is: 50.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.20 : 56 = 33.84 : x
  2. Step 2: Convert to fraction form
    37.20/56 = 33.84/x
  3. Step 3: Cross multiply
    37.20x = 56 × 33.84
  4. Step 4: Simplify right side
    37.20x = 1,895.04
  5. Step 5: Solve for x
    x = 1,895.04/37.20
  6. Step 6: Final answer
    x = 50.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.