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Finding the Fourth Proportional to 36.83, 50.68 and 30.98

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Solution

The fourth proportional to 36.83, 50.68 and 30.98 is: 42.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.83 : 50.68 = 30.98 : x
  2. Step 2: Convert to fraction form
    36.83/50.68 = 30.98/x
  3. Step 3: Cross multiply
    36.83x = 50.68 × 30.98
  4. Step 4: Simplify right side
    36.83x = 1,570.23
  5. Step 5: Solve for x
    x = 1,570.23/36.83
  6. Step 6: Final answer
    x = 42.63

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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.