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Finding the Fourth Proportional to 105.49, 144.83 and 97.30

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Solution

The fourth proportional to 105.49, 144.83 and 97.30 is: 133.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.49 : 144.83 = 97.30 : x
  2. Step 2: Convert to fraction form
    105.49/144.83 = 97.30/x
  3. Step 3: Cross multiply
    105.49x = 144.83 × 97.30
  4. Step 4: Simplify right side
    105.49x = 14,091.96
  5. Step 5: Solve for x
    x = 14,091.96/105.49
  6. Step 6: Final answer
    x = 133.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.