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Finding the Fourth Proportional to 107.61, 161.42 and 105.89

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Solution

The fourth proportional to 107.61, 161.42 and 105.89 is: 158.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.61 : 161.42 = 105.89 : x
  2. Step 2: Convert to fraction form
    107.61/161.42 = 105.89/x
  3. Step 3: Cross multiply
    107.61x = 161.42 × 105.89
  4. Step 4: Simplify right side
    107.61x = 17,092.23
  5. Step 5: Solve for x
    x = 17,092.23/107.61
  6. Step 6: Final answer
    x = 158.84

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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.