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Finding the Fourth Proportional to 106.05, 159.11 and 41.09

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Solution

The fourth proportional to 106.05, 159.11 and 41.09 is: 61.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.05 : 159.11 = 41.09 : x
  2. Step 2: Convert to fraction form
    106.05/159.11 = 41.09/x
  3. Step 3: Cross multiply
    106.05x = 159.11 × 41.09
  4. Step 4: Simplify right side
    106.05x = 6,536.83
  5. Step 5: Solve for x
    x = 6,536.83/106.05
  6. Step 6: Final answer
    x = 61.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.