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Finding the Fourth Proportional to 149.11, 223.63 and 46.42

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Solution

The fourth proportional to 149.11, 223.63 and 46.42 is: 69.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.11 : 223.63 = 46.42 : x
  2. Step 2: Convert to fraction form
    149.11/223.63 = 46.42/x
  3. Step 3: Cross multiply
    149.11x = 223.63 × 46.42
  4. Step 4: Simplify right side
    149.11x = 10,380.23
  5. Step 5: Solve for x
    x = 10,380.23/149.11
  6. Step 6: Final answer
    x = 69.62

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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.