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Finding the Fourth Proportional to 163.52, 225.76 and 105.28

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Solution

The fourth proportional to 163.52, 225.76 and 105.28 is: 145.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.52 : 225.76 = 105.28 : x
  2. Step 2: Convert to fraction form
    163.52/225.76 = 105.28/x
  3. Step 3: Cross multiply
    163.52x = 225.76 × 105.28
  4. Step 4: Simplify right side
    163.52x = 23,768.01
  5. Step 5: Solve for x
    x = 23,768.01/163.52
  6. Step 6: Final answer
    x = 145.35

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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.