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Finding the Fourth Proportional to 116.23, 174.71 and 107.59

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Solution

The fourth proportional to 116.23, 174.71 and 107.59 is: 161.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.23 : 174.71 = 107.59 : x
  2. Step 2: Convert to fraction form
    116.23/174.71 = 107.59/x
  3. Step 3: Cross multiply
    116.23x = 174.71 × 107.59
  4. Step 4: Simplify right side
    116.23x = 18,797.05
  5. Step 5: Solve for x
    x = 18,797.05/116.23
  6. Step 6: Final answer
    x = 161.72

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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.