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Finding the Fourth Proportional to 36.03, 53.74 and 31.49

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Solution

The fourth proportional to 36.03, 53.74 and 31.49 is: 46.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.03 : 53.74 = 31.49 : x
  2. Step 2: Convert to fraction form
    36.03/53.74 = 31.49/x
  3. Step 3: Cross multiply
    36.03x = 53.74 × 31.49
  4. Step 4: Simplify right side
    36.03x = 1,692.27
  5. Step 5: Solve for x
    x = 1,692.27/36.03
  6. Step 6: Final answer
    x = 46.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.