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Finding the Fourth Proportional to 116.38, 174.60 and 44.24

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Solution

The fourth proportional to 116.38, 174.60 and 44.24 is: 66.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.38 : 174.60 = 44.24 : x
  2. Step 2: Convert to fraction form
    116.38/174.60 = 44.24/x
  3. Step 3: Cross multiply
    116.38x = 174.60 × 44.24
  4. Step 4: Simplify right side
    116.38x = 7,724.30
  5. Step 5: Solve for x
    x = 7,724.30/116.38
  6. Step 6: Final answer
    x = 66.37

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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.