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Finding the Fourth Proportional to 94.64, 130.28 and 82.22

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Solution

The fourth proportional to 94.64, 130.28 and 82.22 is: 113.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.64 : 130.28 = 82.22 : x
  2. Step 2: Convert to fraction form
    94.64/130.28 = 82.22/x
  3. Step 3: Cross multiply
    94.64x = 130.28 × 82.22
  4. Step 4: Simplify right side
    94.64x = 10,711.62
  5. Step 5: Solve for x
    x = 10,711.62/94.64
  6. Step 6: Final answer
    x = 113.18

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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.