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Finding the Fourth Proportional to 46.41, 63.99 and 34.16

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Solution

The fourth proportional to 46.41, 63.99 and 34.16 is: 47.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.41 : 63.99 = 34.16 : x
  2. Step 2: Convert to fraction form
    46.41/63.99 = 34.16/x
  3. Step 3: Cross multiply
    46.41x = 63.99 × 34.16
  4. Step 4: Simplify right side
    46.41x = 2,185.58
  5. Step 5: Solve for x
    x = 2,185.58/46.41
  6. Step 6: Final answer
    x = 47.09

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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.