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Finding the Fourth Proportional to 97.77, 134.78 and 84.60

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Solution

The fourth proportional to 97.77, 134.78 and 84.60 is: 116.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.77 : 134.78 = 84.60 : x
  2. Step 2: Convert to fraction form
    97.77/134.78 = 84.60/x
  3. Step 3: Cross multiply
    97.77x = 134.78 × 84.60
  4. Step 4: Simplify right side
    97.77x = 11,402.39
  5. Step 5: Solve for x
    x = 11,402.39/97.77
  6. Step 6: Final answer
    x = 116.62

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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.