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Finding the Fourth Proportional to 149.14, 223.46 and 102.76

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Solution

The fourth proportional to 149.14, 223.46 and 102.76 is: 153.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.14 : 223.46 = 102.76 : x
  2. Step 2: Convert to fraction form
    149.14/223.46 = 102.76/x
  3. Step 3: Cross multiply
    149.14x = 223.46 × 102.76
  4. Step 4: Simplify right side
    149.14x = 22,962.75
  5. Step 5: Solve for x
    x = 22,962.75/149.14
  6. Step 6: Final answer
    x = 153.97

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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.