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Finding the Fourth Proportional to 130.14, 194.27 and 118.80

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Solution

The fourth proportional to 130.14, 194.27 and 118.80 is: 177.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.14 : 194.27 = 118.80 : x
  2. Step 2: Convert to fraction form
    130.14/194.27 = 118.80/x
  3. Step 3: Cross multiply
    130.14x = 194.27 × 118.80
  4. Step 4: Simplify right side
    130.14x = 23,078.68
  5. Step 5: Solve for x
    x = 23,078.68/130.14
  6. Step 6: Final answer
    x = 177.34

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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.