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Finding the Fourth Proportional to 68.49, 94.64 and 54.05

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Solution

The fourth proportional to 68.49, 94.64 and 54.05 is: 74.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.49 : 94.64 = 54.05 : x
  2. Step 2: Convert to fraction form
    68.49/94.64 = 54.05/x
  3. Step 3: Cross multiply
    68.49x = 94.64 × 54.05
  4. Step 4: Simplify right side
    68.49x = 5,114.55
  5. Step 5: Solve for x
    x = 5,114.55/68.49
  6. Step 6: Final answer
    x = 74.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.