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Finding the Fourth Proportional to 77.09, 115.65 and 36.54

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Solution

The fourth proportional to 77.09, 115.65 and 36.54 is: 54.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.09 : 115.65 = 36.54 : x
  2. Step 2: Convert to fraction form
    77.09/115.65 = 36.54/x
  3. Step 3: Cross multiply
    77.09x = 115.65 × 36.54
  4. Step 4: Simplify right side
    77.09x = 4,225.85
  5. Step 5: Solve for x
    x = 4,225.85/77.09
  6. Step 6: Final answer
    x = 54.82

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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.