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Finding the Fourth Proportional to 37.77, 56.49 and 33.02

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Solution

The fourth proportional to 37.77, 56.49 and 33.02 is: 49.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.77 : 56.49 = 33.02 : x
  2. Step 2: Convert to fraction form
    37.77/56.49 = 33.02/x
  3. Step 3: Cross multiply
    37.77x = 56.49 × 33.02
  4. Step 4: Simplify right side
    37.77x = 1,865.13
  5. Step 5: Solve for x
    x = 1,865.13/37.77
  6. Step 6: Final answer
    x = 49.39

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Why These Related Problems?

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