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Finding the Fourth Proportional to 79.96, 119.24 and 78.14

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Solution

The fourth proportional to 79.96, 119.24 and 78.14 is: 116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.96 : 119.24 = 78.14 : x
  2. Step 2: Convert to fraction form
    79.96/119.24 = 78.14/x
  3. Step 3: Cross multiply
    79.96x = 119.24 × 78.14
  4. Step 4: Simplify right side
    79.96x = 9,317.41
  5. Step 5: Solve for x
    x = 9,317.41/79.96
  6. Step 6: Final answer
    x = 116.53

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Why These Related Problems?

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