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Finding the Fourth Proportional to 36.03, 54.11 and 31.46

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Solution

The fourth proportional to 36.03, 54.11 and 31.46 is: 47.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.03 : 54.11 = 31.46 : x
  2. Step 2: Convert to fraction form
    36.03/54.11 = 31.46/x
  3. Step 3: Cross multiply
    36.03x = 54.11 × 31.46
  4. Step 4: Simplify right side
    36.03x = 1,701.87
  5. Step 5: Solve for x
    x = 1,701.87/36.03
  6. Step 6: Final answer
    x = 47.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.