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Finding the Fourth Proportional to 46, 63.46 and 37.27

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Solution

The fourth proportional to 46, 63.46 and 37.27 is: 51.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46 : 63.46 = 37.27 : x
  2. Step 2: Convert to fraction form
    46/63.46 = 37.27/x
  3. Step 3: Cross multiply
    46x = 63.46 × 37.27
  4. Step 4: Simplify right side
    46x = 2,365.15
  5. Step 5: Solve for x
    x = 2,365.15/46
  6. Step 6: Final answer
    x = 51.42

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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.