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Finding the Fourth Proportional to 36.91, 50.94 and 22.35

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Solution

The fourth proportional to 36.91, 50.94 and 22.35 is: 30.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.91 : 50.94 = 22.35 : x
  2. Step 2: Convert to fraction form
    36.91/50.94 = 22.35/x
  3. Step 3: Cross multiply
    36.91x = 50.94 × 22.35
  4. Step 4: Simplify right side
    36.91x = 1,138.51
  5. Step 5: Solve for x
    x = 1,138.51/36.91
  6. Step 6: Final answer
    x = 30.85

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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.