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Finding the Fourth Proportional to 80.07, 120.14 and 48

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Solution

The fourth proportional to 80.07, 120.14 and 48 is: 72.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.07 : 120.14 = 48 : x
  2. Step 2: Convert to fraction form
    80.07/120.14 = 48/x
  3. Step 3: Cross multiply
    80.07x = 120.14 × 48
  4. Step 4: Simplify right side
    80.07x = 5,766.72
  5. Step 5: Solve for x
    x = 5,766.72/80.07
  6. Step 6: Final answer
    x = 72.02

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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.