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Finding the Fourth Proportional to 149.43, 223.58 and 103.86

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Solution

The fourth proportional to 149.43, 223.58 and 103.86 is: 155.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.43 : 223.58 = 103.86 : x
  2. Step 2: Convert to fraction form
    149.43/223.58 = 103.86/x
  3. Step 3: Cross multiply
    149.43x = 223.58 × 103.86
  4. Step 4: Simplify right side
    149.43x = 23,220.50
  5. Step 5: Solve for x
    x = 23,220.50/149.43
  6. Step 6: Final answer
    x = 155.39

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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.