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Finding the Fourth Proportional to 96.16, 131.84 and 94.24

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Solution

The fourth proportional to 96.16, 131.84 and 94.24 is: 129.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.16 : 131.84 = 94.24 : x
  2. Step 2: Convert to fraction form
    96.16/131.84 = 94.24/x
  3. Step 3: Cross multiply
    96.16x = 131.84 × 94.24
  4. Step 4: Simplify right side
    96.16x = 12,424.60
  5. Step 5: Solve for x
    x = 12,424.60/96.16
  6. Step 6: Final answer
    x = 129.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.