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Finding the Fourth Proportional to 97.92, 147.60 and 82.08

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Solution

The fourth proportional to 97.92, 147.60 and 82.08 is: 123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.92 : 147.60 = 82.08 : x
  2. Step 2: Convert to fraction form
    97.92/147.60 = 82.08/x
  3. Step 3: Cross multiply
    97.92x = 147.60 × 82.08
  4. Step 4: Simplify right side
    97.92x = 12,115.01
  5. Step 5: Solve for x
    x = 12,115.01/97.92
  6. Step 6: Final answer
    x = 123.72

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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.