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Finding the Fourth Proportional to 163.65, 225.84 and 97.27

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Solution

The fourth proportional to 163.65, 225.84 and 97.27 is: 134.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.65 : 225.84 = 97.27 : x
  2. Step 2: Convert to fraction form
    163.65/225.84 = 97.27/x
  3. Step 3: Cross multiply
    163.65x = 225.84 × 97.27
  4. Step 4: Simplify right side
    163.65x = 21,967.46
  5. Step 5: Solve for x
    x = 21,967.46/163.65
  6. Step 6: Final answer
    x = 134.23

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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.