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Finding the Fourth Proportional to 96.56, 133.04 and 77.12

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Solution

The fourth proportional to 96.56, 133.04 and 77.12 is: 106.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.56 : 133.04 = 77.12 : x
  2. Step 2: Convert to fraction form
    96.56/133.04 = 77.12/x
  3. Step 3: Cross multiply
    96.56x = 133.04 × 77.12
  4. Step 4: Simplify right side
    96.56x = 10,260.04
  5. Step 5: Solve for x
    x = 10,260.04/96.56
  6. Step 6: Final answer
    x = 106.26

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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.