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Finding the Fourth Proportional to 128.73, 193.05 and 80.67

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Solution

The fourth proportional to 128.73, 193.05 and 80.67 is: 120.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.73 : 193.05 = 80.67 : x
  2. Step 2: Convert to fraction form
    128.73/193.05 = 80.67/x
  3. Step 3: Cross multiply
    128.73x = 193.05 × 80.67
  4. Step 4: Simplify right side
    128.73x = 15,573.34
  5. Step 5: Solve for x
    x = 15,573.34/128.73
  6. Step 6: Final answer
    x = 120.98

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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.