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Finding the Fourth Proportional to 68.78, 103.09 and 30.25

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Solution

The fourth proportional to 68.78, 103.09 and 30.25 is: 45.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.78 : 103.09 = 30.25 : x
  2. Step 2: Convert to fraction form
    68.78/103.09 = 30.25/x
  3. Step 3: Cross multiply
    68.78x = 103.09 × 30.25
  4. Step 4: Simplify right side
    68.78x = 3,117.81
  5. Step 5: Solve for x
    x = 3,117.81/68.78
  6. Step 6: Final answer
    x = 45.33

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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.