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Finding the Fourth Proportional to 96.89, 144.26 and 96.44

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Solution

The fourth proportional to 96.89, 144.26 and 96.44 is: 143.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.89 : 144.26 = 96.44 : x
  2. Step 2: Convert to fraction form
    96.89/144.26 = 96.44/x
  3. Step 3: Cross multiply
    96.89x = 144.26 × 96.44
  4. Step 4: Simplify right side
    96.89x = 13,911.95
  5. Step 5: Solve for x
    x = 13,911.95/96.89
  6. Step 6: Final answer
    x = 143.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.