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Finding the Fourth Proportional to 68.50, 94.50 and 42.27

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Solution

The fourth proportional to 68.50, 94.50 and 42.27 is: 58.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.50 : 94.50 = 42.27 : x
  2. Step 2: Convert to fraction form
    68.50/94.50 = 42.27/x
  3. Step 3: Cross multiply
    68.50x = 94.50 × 42.27
  4. Step 4: Simplify right side
    68.50x = 3,994.52
  5. Step 5: Solve for x
    x = 3,994.52/68.50
  6. Step 6: Final answer
    x = 58.31

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