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Finding the Fourth Proportional to 97.92, 135.20 and 66.92

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Solution

The fourth proportional to 97.92, 135.20 and 66.92 is: 92.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.92 : 135.20 = 66.92 : x
  2. Step 2: Convert to fraction form
    97.92/135.20 = 66.92/x
  3. Step 3: Cross multiply
    97.92x = 135.20 × 66.92
  4. Step 4: Simplify right side
    97.92x = 9,047.58
  5. Step 5: Solve for x
    x = 9,047.58/97.92
  6. Step 6: Final answer
    x = 92.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.