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Finding the Fourth Proportional to 69.77, 103.93 and 68.56

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Solution

The fourth proportional to 69.77, 103.93 and 68.56 is: 102.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.77 : 103.93 = 68.56 : x
  2. Step 2: Convert to fraction form
    69.77/103.93 = 68.56/x
  3. Step 3: Cross multiply
    69.77x = 103.93 × 68.56
  4. Step 4: Simplify right side
    69.77x = 7,125.01
  5. Step 5: Solve for x
    x = 7,125.01/69.77
  6. Step 6: Final answer
    x = 102.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.