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Finding the Fourth Proportional to 105.94, 146.13 and 67.06

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Solution

The fourth proportional to 105.94, 146.13 and 67.06 is: 92.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.94 : 146.13 = 67.06 : x
  2. Step 2: Convert to fraction form
    105.94/146.13 = 67.06/x
  3. Step 3: Cross multiply
    105.94x = 146.13 × 67.06
  4. Step 4: Simplify right side
    105.94x = 9,799.48
  5. Step 5: Solve for x
    x = 9,799.48/105.94
  6. Step 6: Final answer
    x = 92.50

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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.