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Finding the Fourth Proportional to 97.78, 134.61 and 84.61

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Solution

The fourth proportional to 97.78, 134.61 and 84.61 is: 116.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.78 : 134.61 = 84.61 : x
  2. Step 2: Convert to fraction form
    97.78/134.61 = 84.61/x
  3. Step 3: Cross multiply
    97.78x = 134.61 × 84.61
  4. Step 4: Simplify right side
    97.78x = 11,388.68
  5. Step 5: Solve for x
    x = 11,388.68/97.78
  6. Step 6: Final answer
    x = 116.48

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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.