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Finding the Fourth Proportional to 68.50, 94.52 and 40.82

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Solution

The fourth proportional to 68.50, 94.52 and 40.82 is: 56.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.50 : 94.52 = 40.82 : x
  2. Step 2: Convert to fraction form
    68.50/94.52 = 40.82/x
  3. Step 3: Cross multiply
    68.50x = 94.52 × 40.82
  4. Step 4: Simplify right side
    68.50x = 3,858.31
  5. Step 5: Solve for x
    x = 3,858.31/68.50
  6. Step 6: Final answer
    x = 56.33

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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.