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Finding the Fourth Proportional to 96.80, 133.60 and 61.36

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Solution

The fourth proportional to 96.80, 133.60 and 61.36 is: 84.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.80 : 133.60 = 61.36 : x
  2. Step 2: Convert to fraction form
    96.80/133.60 = 61.36/x
  3. Step 3: Cross multiply
    96.80x = 133.60 × 61.36
  4. Step 4: Simplify right side
    96.80x = 8,197.21
  5. Step 5: Solve for x
    x = 8,197.21/96.80
  6. Step 6: Final answer
    x = 84.69

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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.