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Finding the Fourth Proportional to 149.05, 223.54 and 46.31

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Solution

The fourth proportional to 149.05, 223.54 and 46.31 is: 69.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.05 : 223.54 = 46.31 : x
  2. Step 2: Convert to fraction form
    149.05/223.54 = 46.31/x
  3. Step 3: Cross multiply
    149.05x = 223.54 × 46.31
  4. Step 4: Simplify right side
    149.05x = 10,352.14
  5. Step 5: Solve for x
    x = 10,352.14/149.05
  6. Step 6: Final answer
    x = 69.46

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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.