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Finding the Fourth Proportional to 78.09, 116.24 and 76.94

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Solution

The fourth proportional to 78.09, 116.24 and 76.94 is: 114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.09 : 116.24 = 76.94 : x
  2. Step 2: Convert to fraction form
    78.09/116.24 = 76.94/x
  3. Step 3: Cross multiply
    78.09x = 116.24 × 76.94
  4. Step 4: Simplify right side
    78.09x = 8,942.73
  5. Step 5: Solve for x
    x = 8,942.73/78.09
  6. Step 6: Final answer
    x = 114.52

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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.