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Finding the Fourth Proportional to 77.06, 115.40 and 67.44

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Solution

The fourth proportional to 77.06, 115.40 and 67.44 is: 100.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.06 : 115.40 = 67.44 : x
  2. Step 2: Convert to fraction form
    77.06/115.40 = 67.44/x
  3. Step 3: Cross multiply
    77.06x = 115.40 × 67.44
  4. Step 4: Simplify right side
    77.06x = 7,782.58
  5. Step 5: Solve for x
    x = 7,782.58/77.06
  6. Step 6: Final answer
    x = 100.99

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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.