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Finding the Fourth Proportional to 97.10, 146.28 and 82.97

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Solution

The fourth proportional to 97.10, 146.28 and 82.97 is: 124.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.10 : 146.28 = 82.97 : x
  2. Step 2: Convert to fraction form
    97.10/146.28 = 82.97/x
  3. Step 3: Cross multiply
    97.10x = 146.28 × 82.97
  4. Step 4: Simplify right side
    97.10x = 12,136.44
  5. Step 5: Solve for x
    x = 12,136.44/97.10
  6. Step 6: Final answer
    x = 124.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.