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Finding the Fourth Proportional to 36.77, 50.78 and 33.30

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Solution

The fourth proportional to 36.77, 50.78 and 33.30 is: 46.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.77 : 50.78 = 33.30 : x
  2. Step 2: Convert to fraction form
    36.77/50.78 = 33.30/x
  3. Step 3: Cross multiply
    36.77x = 50.78 × 33.30
  4. Step 4: Simplify right side
    36.77x = 1,691.06
  5. Step 5: Solve for x
    x = 1,691.06/36.77
  6. Step 6: Final answer
    x = 46.00

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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.