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Finding the Fourth Proportional to 36.74, 50.54 and 33.77

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Solution

The fourth proportional to 36.74, 50.54 and 33.77 is: 46.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.74 : 50.54 = 33.77 : x
  2. Step 2: Convert to fraction form
    36.74/50.54 = 33.77/x
  3. Step 3: Cross multiply
    36.74x = 50.54 × 33.77
  4. Step 4: Simplify right side
    36.74x = 1,706.31
  5. Step 5: Solve for x
    x = 1,706.31/36.74
  6. Step 6: Final answer
    x = 46.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.