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Finding the Fourth Proportional to 79.28, 119.44 and 78.64

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Solution

The fourth proportional to 79.28, 119.44 and 78.64 is: 118.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.28 : 119.44 = 78.64 : x
  2. Step 2: Convert to fraction form
    79.28/119.44 = 78.64/x
  3. Step 3: Cross multiply
    79.28x = 119.44 × 78.64
  4. Step 4: Simplify right side
    79.28x = 9,392.76
  5. Step 5: Solve for x
    x = 9,392.76/79.28
  6. Step 6: Final answer
    x = 118.48

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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.