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Finding the Fourth Proportional to 68.54, 93.87 and 68.31

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Solution

The fourth proportional to 68.54, 93.87 and 68.31 is: 93.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.54 : 93.87 = 68.31 : x
  2. Step 2: Convert to fraction form
    68.54/93.87 = 68.31/x
  3. Step 3: Cross multiply
    68.54x = 93.87 × 68.31
  4. Step 4: Simplify right side
    68.54x = 6,412.26
  5. Step 5: Solve for x
    x = 6,412.26/68.54
  6. Step 6: Final answer
    x = 93.56

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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.