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Finding the Fourth Proportional to 97.26, 146.05 and 82.14

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Solution

The fourth proportional to 97.26, 146.05 and 82.14 is: 123.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.26 : 146.05 = 82.14 : x
  2. Step 2: Convert to fraction form
    97.26/146.05 = 82.14/x
  3. Step 3: Cross multiply
    97.26x = 146.05 × 82.14
  4. Step 4: Simplify right side
    97.26x = 11,996.14
  5. Step 5: Solve for x
    x = 11,996.14/97.26
  6. Step 6: Final answer
    x = 123.34

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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.