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Finding the Fourth Proportional to 116.80, 175.20 and 44.62

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Solution

The fourth proportional to 116.80, 175.20 and 44.62 is: 66.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.80 : 175.20 = 44.62 : x
  2. Step 2: Convert to fraction form
    116.80/175.20 = 44.62/x
  3. Step 3: Cross multiply
    116.80x = 175.20 × 44.62
  4. Step 4: Simplify right side
    116.80x = 7,817.42
  5. Step 5: Solve for x
    x = 7,817.42/116.80
  6. Step 6: Final answer
    x = 66.93

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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.