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Finding the Fourth Proportional to 46.32, 63.81 and 36.60

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Solution

The fourth proportional to 46.32, 63.81 and 36.60 is: 50.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.32 : 63.81 = 36.60 : x
  2. Step 2: Convert to fraction form
    46.32/63.81 = 36.60/x
  3. Step 3: Cross multiply
    46.32x = 63.81 × 36.60
  4. Step 4: Simplify right side
    46.32x = 2,335.45
  5. Step 5: Solve for x
    x = 2,335.45/46.32
  6. Step 6: Final answer
    x = 50.42

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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.