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Finding the Fourth Proportional to 130.45, 195.50 and 116.65

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Solution

The fourth proportional to 130.45, 195.50 and 116.65 is: 174.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.45 : 195.50 = 116.65 : x
  2. Step 2: Convert to fraction form
    130.45/195.50 = 116.65/x
  3. Step 3: Cross multiply
    130.45x = 195.50 × 116.65
  4. Step 4: Simplify right side
    130.45x = 22,805.83
  5. Step 5: Solve for x
    x = 22,805.83/130.45
  6. Step 6: Final answer
    x = 174.83

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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.