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Finding the Fourth Proportional to 78.36, 116.90 and 76.27

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Solution

The fourth proportional to 78.36, 116.90 and 76.27 is: 113.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.36 : 116.90 = 76.27 : x
  2. Step 2: Convert to fraction form
    78.36/116.90 = 76.27/x
  3. Step 3: Cross multiply
    78.36x = 116.90 × 76.27
  4. Step 4: Simplify right side
    78.36x = 8,915.96
  5. Step 5: Solve for x
    x = 8,915.96/78.36
  6. Step 6: Final answer
    x = 113.78

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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.