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Finding the Fourth Proportional to 96.80, 133.57 and 61.86

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Solution

The fourth proportional to 96.80, 133.57 and 61.86 is: 85.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.80 : 133.57 = 61.86 : x
  2. Step 2: Convert to fraction form
    96.80/133.57 = 61.86/x
  3. Step 3: Cross multiply
    96.80x = 133.57 × 61.86
  4. Step 4: Simplify right side
    96.80x = 8,262.76
  5. Step 5: Solve for x
    x = 8,262.76/96.80
  6. Step 6: Final answer
    x = 85.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.