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Finding the Fourth Proportional to 79.38, 119.02 and 38.78

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Solution

The fourth proportional to 79.38, 119.02 and 38.78 is: 58.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.38 : 119.02 = 38.78 : x
  2. Step 2: Convert to fraction form
    79.38/119.02 = 38.78/x
  3. Step 3: Cross multiply
    79.38x = 119.02 × 38.78
  4. Step 4: Simplify right side
    79.38x = 4,615.40
  5. Step 5: Solve for x
    x = 4,615.40/79.38
  6. Step 6: Final answer
    x = 58.14

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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.