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Finding the Fourth Proportional to 116.53, 174.31 and 105.85

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Solution

The fourth proportional to 116.53, 174.31 and 105.85 is: 158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.53 : 174.31 = 105.85 : x
  2. Step 2: Convert to fraction form
    116.53/174.31 = 105.85/x
  3. Step 3: Cross multiply
    116.53x = 174.31 × 105.85
  4. Step 4: Simplify right side
    116.53x = 18,450.01
  5. Step 5: Solve for x
    x = 18,450.01/116.53
  6. Step 6: Final answer
    x = 158.33

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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.