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Finding the Fourth Proportional to 77.26, 116.09 and 72.40

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Solution

The fourth proportional to 77.26, 116.09 and 72.40 is: 108.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.26 : 116.09 = 72.40 : x
  2. Step 2: Convert to fraction form
    77.26/116.09 = 72.40/x
  3. Step 3: Cross multiply
    77.26x = 116.09 × 72.40
  4. Step 4: Simplify right side
    77.26x = 8,404.92
  5. Step 5: Solve for x
    x = 8,404.92/77.26
  6. Step 6: Final answer
    x = 108.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.