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Finding the Fourth Proportional to 105.45, 158.08 and 44.63

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Solution

The fourth proportional to 105.45, 158.08 and 44.63 is: 66.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.45 : 158.08 = 44.63 : x
  2. Step 2: Convert to fraction form
    105.45/158.08 = 44.63/x
  3. Step 3: Cross multiply
    105.45x = 158.08 × 44.63
  4. Step 4: Simplify right side
    105.45x = 7,054.31
  5. Step 5: Solve for x
    x = 7,054.31/105.45
  6. Step 6: Final answer
    x = 66.90

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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.