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Finding the Fourth Proportional to 36.04, 49.49 and 33.54

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Solution

The fourth proportional to 36.04, 49.49 and 33.54 is: 46.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.04 : 49.49 = 33.54 : x
  2. Step 2: Convert to fraction form
    36.04/49.49 = 33.54/x
  3. Step 3: Cross multiply
    36.04x = 49.49 × 33.54
  4. Step 4: Simplify right side
    36.04x = 1,659.89
  5. Step 5: Solve for x
    x = 1,659.89/36.04
  6. Step 6: Final answer
    x = 46.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.