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Finding the Fourth Proportional to 130.66, 196.21 and 116.05

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Solution

The fourth proportional to 130.66, 196.21 and 116.05 is: 174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.66 : 196.21 = 116.05 : x
  2. Step 2: Convert to fraction form
    130.66/196.21 = 116.05/x
  3. Step 3: Cross multiply
    130.66x = 196.21 × 116.05
  4. Step 4: Simplify right side
    130.66x = 22,770.85
  5. Step 5: Solve for x
    x = 22,770.85/130.66
  6. Step 6: Final answer
    x = 174.28

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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.