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Finding the Fourth Proportional to 36.16, 49.92 and 31.84

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Solution

The fourth proportional to 36.16, 49.92 and 31.84 is: 43.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.16 : 49.92 = 31.84 : x
  2. Step 2: Convert to fraction form
    36.16/49.92 = 31.84/x
  3. Step 3: Cross multiply
    36.16x = 49.92 × 31.84
  4. Step 4: Simplify right side
    36.16x = 1,589.45
  5. Step 5: Solve for x
    x = 1,589.45/36.16
  6. Step 6: Final answer
    x = 43.96

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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.