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Finding the Fourth Proportional to 77.21, 116.31 and 76.26

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Solution

The fourth proportional to 77.21, 116.31 and 76.26 is: 114.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.21 : 116.31 = 76.26 : x
  2. Step 2: Convert to fraction form
    77.21/116.31 = 76.26/x
  3. Step 3: Cross multiply
    77.21x = 116.31 × 76.26
  4. Step 4: Simplify right side
    77.21x = 8,869.80
  5. Step 5: Solve for x
    x = 8,869.80/77.21
  6. Step 6: Final answer
    x = 114.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.