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Finding the Fourth Proportional to 105.98, 158.98 and 28.94

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Solution

The fourth proportional to 105.98, 158.98 and 28.94 is: 43.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.98 : 158.98 = 28.94 : x
  2. Step 2: Convert to fraction form
    105.98/158.98 = 28.94/x
  3. Step 3: Cross multiply
    105.98x = 158.98 × 28.94
  4. Step 4: Simplify right side
    105.98x = 4,600.09
  5. Step 5: Solve for x
    x = 4,600.09/105.98
  6. Step 6: Final answer
    x = 43.40

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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.