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Finding the Fourth Proportional to 46.13, 69.44 and 41.09

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Solution

The fourth proportional to 46.13, 69.44 and 41.09 is: 61.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.13 : 69.44 = 41.09 : x
  2. Step 2: Convert to fraction form
    46.13/69.44 = 41.09/x
  3. Step 3: Cross multiply
    46.13x = 69.44 × 41.09
  4. Step 4: Simplify right side
    46.13x = 2,852.74
  5. Step 5: Solve for x
    x = 2,852.74/46.13
  6. Step 6: Final answer
    x = 61.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.