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Finding the Fourth Proportional to 79.92, 119.30 and 70.80

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Solution

The fourth proportional to 79.92, 119.30 and 70.80 is: 105.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.92 : 119.30 = 70.80 : x
  2. Step 2: Convert to fraction form
    79.92/119.30 = 70.80/x
  3. Step 3: Cross multiply
    79.92x = 119.30 × 70.80
  4. Step 4: Simplify right side
    79.92x = 8,446.09
  5. Step 5: Solve for x
    x = 8,446.09/79.92
  6. Step 6: Final answer
    x = 105.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.