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Finding the Fourth Proportional to 163.54, 225.57 and 113.75

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Solution

The fourth proportional to 163.54, 225.57 and 113.75 is: 156.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.54 : 225.57 = 113.75 : x
  2. Step 2: Convert to fraction form
    163.54/225.57 = 113.75/x
  3. Step 3: Cross multiply
    163.54x = 225.57 × 113.75
  4. Step 4: Simplify right side
    163.54x = 25,658.09
  5. Step 5: Solve for x
    x = 25,658.09/163.54
  6. Step 6: Final answer
    x = 156.89

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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.