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Finding the Fourth Proportional to 130.46, 194.68 and 116.79

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Solution

The fourth proportional to 130.46, 194.68 and 116.79 is: 174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.46 : 194.68 = 116.79 : x
  2. Step 2: Convert to fraction form
    130.46/194.68 = 116.79/x
  3. Step 3: Cross multiply
    130.46x = 194.68 × 116.79
  4. Step 4: Simplify right side
    130.46x = 22,736.68
  5. Step 5: Solve for x
    x = 22,736.68/130.46
  6. Step 6: Final answer
    x = 174.28

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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.