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Finding the Fourth Proportional to 163.31, 225.54 and 105.13

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Solution

The fourth proportional to 163.31, 225.54 and 105.13 is: 145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.31 : 225.54 = 105.13 : x
  2. Step 2: Convert to fraction form
    163.31/225.54 = 105.13/x
  3. Step 3: Cross multiply
    163.31x = 225.54 × 105.13
  4. Step 4: Simplify right side
    163.31x = 23,709.89
  5. Step 5: Solve for x
    x = 23,709.89/163.31
  6. Step 6: Final answer
    x = 145.18

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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.