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Finding the Fourth Proportional to 36.93, 50.64 and 34.27

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Solution

The fourth proportional to 36.93, 50.64 and 34.27 is: 46.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.93 : 50.64 = 34.27 : x
  2. Step 2: Convert to fraction form
    36.93/50.64 = 34.27/x
  3. Step 3: Cross multiply
    36.93x = 50.64 × 34.27
  4. Step 4: Simplify right side
    36.93x = 1,735.27
  5. Step 5: Solve for x
    x = 1,735.27/36.93
  6. Step 6: Final answer
    x = 46.98

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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.