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Finding the Fourth Proportional to 119.26, 178.75 and 70.54

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Solution

The fourth proportional to 119.26, 178.75 and 70.54 is: 105.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.26 : 178.75 = 70.54 : x
  2. Step 2: Convert to fraction form
    119.26/178.75 = 70.54/x
  3. Step 3: Cross multiply
    119.26x = 178.75 × 70.54
  4. Step 4: Simplify right side
    119.26x = 12,609.03
  5. Step 5: Solve for x
    x = 12,609.03/119.26
  6. Step 6: Final answer
    x = 105.73

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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.