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Finding the Fourth Proportional to 107.67, 161.50 and 30.63

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Solution

The fourth proportional to 107.67, 161.50 and 30.63 is: 45.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.67 : 161.50 = 30.63 : x
  2. Step 2: Convert to fraction form
    107.67/161.50 = 30.63/x
  3. Step 3: Cross multiply
    107.67x = 161.50 × 30.63
  4. Step 4: Simplify right side
    107.67x = 4,946.67
  5. Step 5: Solve for x
    x = 4,946.67/107.67
  6. Step 6: Final answer
    x = 45.94

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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.