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Finding the Fourth Proportional to 77.78, 117.24 and 69.95

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Solution

The fourth proportional to 77.78, 117.24 and 69.95 is: 105.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.78 : 117.24 = 69.95 : x
  2. Step 2: Convert to fraction form
    77.78/117.24 = 69.95/x
  3. Step 3: Cross multiply
    77.78x = 117.24 × 69.95
  4. Step 4: Simplify right side
    77.78x = 8,200.94
  5. Step 5: Solve for x
    x = 8,200.94/77.78
  6. Step 6: Final answer
    x = 105.44

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