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Finding the Fourth Proportional to 46.14, 63.64 and 36.91

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Solution

The fourth proportional to 46.14, 63.64 and 36.91 is: 50.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.14 : 63.64 = 36.91 : x
  2. Step 2: Convert to fraction form
    46.14/63.64 = 36.91/x
  3. Step 3: Cross multiply
    46.14x = 63.64 × 36.91
  4. Step 4: Simplify right side
    46.14x = 2,348.95
  5. Step 5: Solve for x
    x = 2,348.95/46.14
  6. Step 6: Final answer
    x = 50.91

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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.