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Finding the Fourth Proportional to 163.40, 225.67 and 123.98

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Solution

The fourth proportional to 163.40, 225.67 and 123.98 is: 171.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.40 : 225.67 = 123.98 : x
  2. Step 2: Convert to fraction form
    163.40/225.67 = 123.98/x
  3. Step 3: Cross multiply
    163.40x = 225.67 × 123.98
  4. Step 4: Simplify right side
    163.40x = 27,978.82
  5. Step 5: Solve for x
    x = 27,978.82/163.40
  6. Step 6: Final answer
    x = 171.23

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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.