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Finding the Fourth Proportional to 76.09, 105.09 and 54.22

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Solution

The fourth proportional to 76.09, 105.09 and 54.22 is: 74.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.09 : 105.09 = 54.22 : x
  2. Step 2: Convert to fraction form
    76.09/105.09 = 54.22/x
  3. Step 3: Cross multiply
    76.09x = 105.09 × 54.22
  4. Step 4: Simplify right side
    76.09x = 5,697.98
  5. Step 5: Solve for x
    x = 5,697.98/76.09
  6. Step 6: Final answer
    x = 74.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.