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Finding the Fourth Proportional to 68.94, 102.77 and 68.69

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Solution

The fourth proportional to 68.94, 102.77 and 68.69 is: 102.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.94 : 102.77 = 68.69 : x
  2. Step 2: Convert to fraction form
    68.94/102.77 = 68.69/x
  3. Step 3: Cross multiply
    68.94x = 102.77 × 68.69
  4. Step 4: Simplify right side
    68.94x = 7,058.94
  5. Step 5: Solve for x
    x = 7,058.94/68.94
  6. Step 6: Final answer
    x = 102.39

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Why These Related Problems?

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