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Finding the Fourth Proportional to 96.96, 144.42 and 96.42

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Solution

The fourth proportional to 96.96, 144.42 and 96.42 is: 143.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.96 : 144.42 = 96.42 : x
  2. Step 2: Convert to fraction form
    96.96/144.42 = 96.42/x
  3. Step 3: Cross multiply
    96.96x = 144.42 × 96.42
  4. Step 4: Simplify right side
    96.96x = 13,924.98
  5. Step 5: Solve for x
    x = 13,924.98/96.96
  6. Step 6: Final answer
    x = 143.62

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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.