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Finding the Fourth Proportional to 79.81, 120.38 and 77.38

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Solution

The fourth proportional to 79.81, 120.38 and 77.38 is: 116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.81 : 120.38 = 77.38 : x
  2. Step 2: Convert to fraction form
    79.81/120.38 = 77.38/x
  3. Step 3: Cross multiply
    79.81x = 120.38 × 77.38
  4. Step 4: Simplify right side
    79.81x = 9,315.00
  5. Step 5: Solve for x
    x = 9,315.00/79.81
  6. Step 6: Final answer
    x = 116.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.