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Finding the Fourth Proportional to 68.44, 94.45 and 42.57

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Solution

The fourth proportional to 68.44, 94.45 and 42.57 is: 58.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.44 : 94.45 = 42.57 : x
  2. Step 2: Convert to fraction form
    68.44/94.45 = 42.57/x
  3. Step 3: Cross multiply
    68.44x = 94.45 × 42.57
  4. Step 4: Simplify right side
    68.44x = 4,020.05
  5. Step 5: Solve for x
    x = 4,020.05/68.44
  6. Step 6: Final answer
    x = 58.74

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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.