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Finding the Fourth Proportional to 130.46, 195.49 and 116.86

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Solution

The fourth proportional to 130.46, 195.49 and 116.86 is: 175.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.46 : 195.49 = 116.86 : x
  2. Step 2: Convert to fraction form
    130.46/195.49 = 116.86/x
  3. Step 3: Cross multiply
    130.46x = 195.49 × 116.86
  4. Step 4: Simplify right side
    130.46x = 22,844.96
  5. Step 5: Solve for x
    x = 22,844.96/130.46
  6. Step 6: Final answer
    x = 175.11

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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.