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Finding the Fourth Proportional to 97.28, 146.05 and 82.93

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Solution

The fourth proportional to 97.28, 146.05 and 82.93 is: 124.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.28 : 146.05 = 82.93 : x
  2. Step 2: Convert to fraction form
    97.28/146.05 = 82.93/x
  3. Step 3: Cross multiply
    97.28x = 146.05 × 82.93
  4. Step 4: Simplify right side
    97.28x = 12,110.78
  5. Step 5: Solve for x
    x = 12,110.78/97.28
  6. Step 6: Final answer
    x = 124.49

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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.