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Finding the Fourth Proportional to 153.97, 231.18 and 96.44

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Solution

The fourth proportional to 153.97, 231.18 and 96.44 is: 144.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.97 : 231.18 = 96.44 : x
  2. Step 2: Convert to fraction form
    153.97/231.18 = 96.44/x
  3. Step 3: Cross multiply
    153.97x = 231.18 × 96.44
  4. Step 4: Simplify right side
    153.97x = 22,295.00
  5. Step 5: Solve for x
    x = 22,295.00/153.97
  6. Step 6: Final answer
    x = 144.80

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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.