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Finding the Fourth Proportional to 97.69, 146.45 and 81.63

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Solution

The fourth proportional to 97.69, 146.45 and 81.63 is: 122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.69 : 146.45 = 81.63 : x
  2. Step 2: Convert to fraction form
    97.69/146.45 = 81.63/x
  3. Step 3: Cross multiply
    97.69x = 146.45 × 81.63
  4. Step 4: Simplify right side
    97.69x = 11,953.57
  5. Step 5: Solve for x
    x = 11,953.57/97.69
  6. Step 6: Final answer
    x = 122.36

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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.