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Finding the Fourth Proportional to 68.78, 94.41 and 61.49

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Solution

The fourth proportional to 68.78, 94.41 and 61.49 is: 84.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.78 : 94.41 = 61.49 : x
  2. Step 2: Convert to fraction form
    68.78/94.41 = 61.49/x
  3. Step 3: Cross multiply
    68.78x = 94.41 × 61.49
  4. Step 4: Simplify right side
    68.78x = 5,805.51
  5. Step 5: Solve for x
    x = 5,805.51/68.78
  6. Step 6: Final answer
    x = 84.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.