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Finding the Fourth Proportional to 196.62, 294.70 and 81.01

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Solution

The fourth proportional to 196.62, 294.70 and 81.01 is: 121.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.62 : 294.70 = 81.01 : x
  2. Step 2: Convert to fraction form
    196.62/294.70 = 81.01/x
  3. Step 3: Cross multiply
    196.62x = 294.70 × 81.01
  4. Step 4: Simplify right side
    196.62x = 23,872.71
  5. Step 5: Solve for x
    x = 23,872.71/196.62
  6. Step 6: Final answer
    x = 121.42

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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.