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Finding the Fourth Proportional to 130.20, 194.90 and 122.28

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Solution

The fourth proportional to 130.20, 194.90 and 122.28 is: 183.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.20 : 194.90 = 122.28 : x
  2. Step 2: Convert to fraction form
    130.20/194.90 = 122.28/x
  3. Step 3: Cross multiply
    130.20x = 194.90 × 122.28
  4. Step 4: Simplify right side
    130.20x = 23,832.37
  5. Step 5: Solve for x
    x = 23,832.37/130.20
  6. Step 6: Final answer
    x = 183.04

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