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Finding the Fourth Proportional to 69.37, 103.31 and 65.41

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Solution

The fourth proportional to 69.37, 103.31 and 65.41 is: 97.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.37 : 103.31 = 65.41 : x
  2. Step 2: Convert to fraction form
    69.37/103.31 = 65.41/x
  3. Step 3: Cross multiply
    69.37x = 103.31 × 65.41
  4. Step 4: Simplify right side
    69.37x = 6,757.51
  5. Step 5: Solve for x
    x = 6,757.51/69.37
  6. Step 6: Final answer
    x = 97.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.