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Finding the Fourth Proportional to 106.65, 159.97 and 29.62

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Solution

The fourth proportional to 106.65, 159.97 and 29.62 is: 44.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.65 : 159.97 = 29.62 : x
  2. Step 2: Convert to fraction form
    106.65/159.97 = 29.62/x
  3. Step 3: Cross multiply
    106.65x = 159.97 × 29.62
  4. Step 4: Simplify right side
    106.65x = 4,738.31
  5. Step 5: Solve for x
    x = 4,738.31/106.65
  6. Step 6: Final answer
    x = 44.43

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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.