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Finding the Fourth Proportional to 46.09, 63.46 and 36.83

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Solution

The fourth proportional to 46.09, 63.46 and 36.83 is: 50.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.09 : 63.46 = 36.83 : x
  2. Step 2: Convert to fraction form
    46.09/63.46 = 36.83/x
  3. Step 3: Cross multiply
    46.09x = 63.46 × 36.83
  4. Step 4: Simplify right side
    46.09x = 2,337.23
  5. Step 5: Solve for x
    x = 2,337.23/46.09
  6. Step 6: Final answer
    x = 50.71

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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.