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Finding the Fourth Proportional to 106.22, 159.40 and 60.61

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Solution

The fourth proportional to 106.22, 159.40 and 60.61 is: 90.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.22 : 159.40 = 60.61 : x
  2. Step 2: Convert to fraction form
    106.22/159.40 = 60.61/x
  3. Step 3: Cross multiply
    106.22x = 159.40 × 60.61
  4. Step 4: Simplify right side
    106.22x = 9,660.44
  5. Step 5: Solve for x
    x = 9,660.44/106.22
  6. Step 6: Final answer
    x = 90.95

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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.