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Finding the Fourth Proportional to 130.97, 196.64 and 82.43

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Solution

The fourth proportional to 130.97, 196.64 and 82.43 is: 123.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.97 : 196.64 = 82.43 : x
  2. Step 2: Convert to fraction form
    130.97/196.64 = 82.43/x
  3. Step 3: Cross multiply
    130.97x = 196.64 × 82.43
  4. Step 4: Simplify right side
    130.97x = 16,209.04
  5. Step 5: Solve for x
    x = 16,209.04/130.97
  6. Step 6: Final answer
    x = 123.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.