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Finding the Fourth Proportional to 36.05, 49.61 and 31.43

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Solution

The fourth proportional to 36.05, 49.61 and 31.43 is: 43.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.05 : 49.61 = 31.43 : x
  2. Step 2: Convert to fraction form
    36.05/49.61 = 31.43/x
  3. Step 3: Cross multiply
    36.05x = 49.61 × 31.43
  4. Step 4: Simplify right side
    36.05x = 1,558.84
  5. Step 5: Solve for x
    x = 1,558.84/36.05
  6. Step 6: Final answer
    x = 43.25

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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.