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Finding the Fourth Proportional to 116.37, 174.96 and 107.46

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Solution

The fourth proportional to 116.37, 174.96 and 107.46 is: 161.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.37 : 174.96 = 107.46 : x
  2. Step 2: Convert to fraction form
    116.37/174.96 = 107.46/x
  3. Step 3: Cross multiply
    116.37x = 174.96 × 107.46
  4. Step 4: Simplify right side
    116.37x = 18,801.20
  5. Step 5: Solve for x
    x = 18,801.20/116.37
  6. Step 6: Final answer
    x = 161.56

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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.