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Finding the Fourth Proportional to 190.39, 285.72 and 68.66

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Solution

The fourth proportional to 190.39, 285.72 and 68.66 is: 103.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.39 : 285.72 = 68.66 : x
  2. Step 2: Convert to fraction form
    190.39/285.72 = 68.66/x
  3. Step 3: Cross multiply
    190.39x = 285.72 × 68.66
  4. Step 4: Simplify right side
    190.39x = 19,617.54
  5. Step 5: Solve for x
    x = 19,617.54/190.39
  6. Step 6: Final answer
    x = 103.04

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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.