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Finding the Fourth Proportional to 130.16, 194.37 and 113.09

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Solution

The fourth proportional to 130.16, 194.37 and 113.09 is: 168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.16 : 194.37 = 113.09 : x
  2. Step 2: Convert to fraction form
    130.16/194.37 = 113.09/x
  3. Step 3: Cross multiply
    130.16x = 194.37 × 113.09
  4. Step 4: Simplify right side
    130.16x = 21,979.91
  5. Step 5: Solve for x
    x = 21,979.91/130.16
  6. Step 6: Final answer
    x = 168.87

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