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Finding the Fourth Proportional to 68.94, 102.68 and 68.54

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Solution

The fourth proportional to 68.94, 102.68 and 68.54 is: 102.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.94 : 102.68 = 68.54 : x
  2. Step 2: Convert to fraction form
    68.94/102.68 = 68.54/x
  3. Step 3: Cross multiply
    68.94x = 102.68 × 68.54
  4. Step 4: Simplify right side
    68.94x = 7,036.83
  5. Step 5: Solve for x
    x = 7,036.83/68.94
  6. Step 6: Final answer
    x = 102.07

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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.