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Finding the Fourth Proportional to 105.94, 146.05 and 87.49

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Solution

The fourth proportional to 105.94, 146.05 and 87.49 is: 120.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.94 : 146.05 = 87.49 : x
  2. Step 2: Convert to fraction form
    105.94/146.05 = 87.49/x
  3. Step 3: Cross multiply
    105.94x = 146.05 × 87.49
  4. Step 4: Simplify right side
    105.94x = 12,777.91
  5. Step 5: Solve for x
    x = 12,777.91/105.94
  6. Step 6: Final answer
    x = 120.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.