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Finding the Fourth Proportional to 96.74, 133.44 and 77.30

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Solution

The fourth proportional to 96.74, 133.44 and 77.30 is: 106.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.74 : 133.44 = 77.30 : x
  2. Step 2: Convert to fraction form
    96.74/133.44 = 77.30/x
  3. Step 3: Cross multiply
    96.74x = 133.44 × 77.30
  4. Step 4: Simplify right side
    96.74x = 10,314.91
  5. Step 5: Solve for x
    x = 10,314.91/96.74
  6. Step 6: Final answer
    x = 106.63

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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.