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Finding the Fourth Proportional to 94.96, 131.16 and 82.64

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Solution

The fourth proportional to 94.96, 131.16 and 82.64 is: 114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.96 : 131.16 = 82.64 : x
  2. Step 2: Convert to fraction form
    94.96/131.16 = 82.64/x
  3. Step 3: Cross multiply
    94.96x = 131.16 × 82.64
  4. Step 4: Simplify right side
    94.96x = 10,839.06
  5. Step 5: Solve for x
    x = 10,839.06/94.96
  6. Step 6: Final answer
    x = 114.14

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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.