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Finding the Fourth Proportional to 130.37, 194.24 and 129.83

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Solution

The fourth proportional to 130.37, 194.24 and 129.83 is: 193.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.37 : 194.24 = 129.83 : x
  2. Step 2: Convert to fraction form
    130.37/194.24 = 129.83/x
  3. Step 3: Cross multiply
    130.37x = 194.24 × 129.83
  4. Step 4: Simplify right side
    130.37x = 25,217.53
  5. Step 5: Solve for x
    x = 25,217.53/130.37
  6. Step 6: Final answer
    x = 193.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.