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Finding the Fourth Proportional to 36.24, 54.12 and 31.18

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Solution

The fourth proportional to 36.24, 54.12 and 31.18 is: 46.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.24 : 54.12 = 31.18 : x
  2. Step 2: Convert to fraction form
    36.24/54.12 = 31.18/x
  3. Step 3: Cross multiply
    36.24x = 54.12 × 31.18
  4. Step 4: Simplify right side
    36.24x = 1,687.46
  5. Step 5: Solve for x
    x = 1,687.46/36.24
  6. Step 6: Final answer
    x = 46.56

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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.