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Finding the Fourth Proportional to 130.57, 195.97 and 94.04

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Solution

The fourth proportional to 130.57, 195.97 and 94.04 is: 141.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.57 : 195.97 = 94.04 : x
  2. Step 2: Convert to fraction form
    130.57/195.97 = 94.04/x
  3. Step 3: Cross multiply
    130.57x = 195.97 × 94.04
  4. Step 4: Simplify right side
    130.57x = 18,429.02
  5. Step 5: Solve for x
    x = 18,429.02/130.57
  6. Step 6: Final answer
    x = 141.15

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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.