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Finding the Fourth Proportional to 119.62, 165 and 105.58

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Solution

The fourth proportional to 119.62, 165 and 105.58 is: 145.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.62 : 165 = 105.58 : x
  2. Step 2: Convert to fraction form
    119.62/165 = 105.58/x
  3. Step 3: Cross multiply
    119.62x = 165 × 105.58
  4. Step 4: Simplify right side
    119.62x = 17,420.70
  5. Step 5: Solve for x
    x = 17,420.70/119.62
  6. Step 6: Final answer
    x = 145.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.