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Finding the Fourth Proportional to 97.62, 134.60 and 84.50

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Solution

The fourth proportional to 97.62, 134.60 and 84.50 is: 116.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.62 : 134.60 = 84.50 : x
  2. Step 2: Convert to fraction form
    97.62/134.60 = 84.50/x
  3. Step 3: Cross multiply
    97.62x = 134.60 × 84.50
  4. Step 4: Simplify right side
    97.62x = 11,373.70
  5. Step 5: Solve for x
    x = 11,373.70/97.62
  6. Step 6: Final answer
    x = 116.51

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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.