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Finding the Fourth Proportional to 46.44, 69.13 and 44.23

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Solution

The fourth proportional to 46.44, 69.13 and 44.23 is: 65.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.44 : 69.13 = 44.23 : x
  2. Step 2: Convert to fraction form
    46.44/69.13 = 44.23/x
  3. Step 3: Cross multiply
    46.44x = 69.13 × 44.23
  4. Step 4: Simplify right side
    46.44x = 3,057.11
  5. Step 5: Solve for x
    x = 3,057.11/46.44
  6. Step 6: Final answer
    x = 65.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.