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Finding the Fourth Proportional to 105.98, 158.43 and 73.94

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Solution

The fourth proportional to 105.98, 158.43 and 73.94 is: 110.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.98 : 158.43 = 73.94 : x
  2. Step 2: Convert to fraction form
    105.98/158.43 = 73.94/x
  3. Step 3: Cross multiply
    105.98x = 158.43 × 73.94
  4. Step 4: Simplify right side
    105.98x = 11,713.94
  5. Step 5: Solve for x
    x = 11,713.94/105.98
  6. Step 6: Final answer
    x = 110.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.