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Finding the Fourth Proportional to 163.26, 225.30 and 105.02

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Solution

The fourth proportional to 163.26, 225.30 and 105.02 is: 144.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.26 : 225.30 = 105.02 : x
  2. Step 2: Convert to fraction form
    163.26/225.30 = 105.02/x
  3. Step 3: Cross multiply
    163.26x = 225.30 × 105.02
  4. Step 4: Simplify right side
    163.26x = 23,661.01
  5. Step 5: Solve for x
    x = 23,661.01/163.26
  6. Step 6: Final answer
    x = 144.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.