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Finding the Fourth Proportional to 130.66, 195.96 and 116.19

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Solution

The fourth proportional to 130.66, 195.96 and 116.19 is: 174.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.66 : 195.96 = 116.19 : x
  2. Step 2: Convert to fraction form
    130.66/195.96 = 116.19/x
  3. Step 3: Cross multiply
    130.66x = 195.96 × 116.19
  4. Step 4: Simplify right side
    130.66x = 22,767.61
  5. Step 5: Solve for x
    x = 22,767.61/130.66
  6. Step 6: Final answer
    x = 174.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.