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Finding the Fourth Proportional to 97.54, 134.61 and 77.86

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Solution

The fourth proportional to 97.54, 134.61 and 77.86 is: 107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.54 : 134.61 = 77.86 : x
  2. Step 2: Convert to fraction form
    97.54/134.61 = 77.86/x
  3. Step 3: Cross multiply
    97.54x = 134.61 × 77.86
  4. Step 4: Simplify right side
    97.54x = 10,480.73
  5. Step 5: Solve for x
    x = 10,480.73/97.54
  6. Step 6: Final answer
    x = 107.45

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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.