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Finding the Fourth Proportional to 106.09, 158.82 and 80.35

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Solution

The fourth proportional to 106.09, 158.82 and 80.35 is: 120.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.09 : 158.82 = 80.35 : x
  2. Step 2: Convert to fraction form
    106.09/158.82 = 80.35/x
  3. Step 3: Cross multiply
    106.09x = 158.82 × 80.35
  4. Step 4: Simplify right side
    106.09x = 12,761.19
  5. Step 5: Solve for x
    x = 12,761.19/106.09
  6. Step 6: Final answer
    x = 120.29

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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.