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Finding the Fourth Proportional to 130.67, 195.12 and 113.59

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Solution

The fourth proportional to 130.67, 195.12 and 113.59 is: 169.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.67 : 195.12 = 113.59 : x
  2. Step 2: Convert to fraction form
    130.67/195.12 = 113.59/x
  3. Step 3: Cross multiply
    130.67x = 195.12 × 113.59
  4. Step 4: Simplify right side
    130.67x = 22,162.14
  5. Step 5: Solve for x
    x = 22,162.14/130.67
  6. Step 6: Final answer
    x = 169.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.