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Finding the Fourth Proportional to 46.45, 69.62 and 27.23

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Solution

The fourth proportional to 46.45, 69.62 and 27.23 is: 40.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.45 : 69.62 = 27.23 : x
  2. Step 2: Convert to fraction form
    46.45/69.62 = 27.23/x
  3. Step 3: Cross multiply
    46.45x = 69.62 × 27.23
  4. Step 4: Simplify right side
    46.45x = 1,895.75
  5. Step 5: Solve for x
    x = 1,895.75/46.45
  6. Step 6: Final answer
    x = 40.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.