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Finding the Fourth Proportional to 46.13, 63.68 and 36.27

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Solution

The fourth proportional to 46.13, 63.68 and 36.27 is: 50.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.13 : 63.68 = 36.27 : x
  2. Step 2: Convert to fraction form
    46.13/63.68 = 36.27/x
  3. Step 3: Cross multiply
    46.13x = 63.68 × 36.27
  4. Step 4: Simplify right side
    46.13x = 2,309.58
  5. Step 5: Solve for x
    x = 2,309.58/46.13
  6. Step 6: Final answer
    x = 50.07

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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.