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Finding the Fourth Proportional to 97.92, 146.07 and 92.40

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Solution

The fourth proportional to 97.92, 146.07 and 92.40 is: 137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.92 : 146.07 = 92.40 : x
  2. Step 2: Convert to fraction form
    97.92/146.07 = 92.40/x
  3. Step 3: Cross multiply
    97.92x = 146.07 × 92.40
  4. Step 4: Simplify right side
    97.92x = 13,496.87
  5. Step 5: Solve for x
    x = 13,496.87/97.92
  6. Step 6: Final answer
    x = 137.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.