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Finding the Fourth Proportional to 130.49, 195.44 and 82.29

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Solution

The fourth proportional to 130.49, 195.44 and 82.29 is: 123.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.49 : 195.44 = 82.29 : x
  2. Step 2: Convert to fraction form
    130.49/195.44 = 82.29/x
  3. Step 3: Cross multiply
    130.49x = 195.44 × 82.29
  4. Step 4: Simplify right side
    130.49x = 16,082.35
  5. Step 5: Solve for x
    x = 16,082.35/130.49
  6. Step 6: Final answer
    x = 123.25

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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.