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Finding the Fourth Proportional to 163.51, 225.62 and 98

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Solution

The fourth proportional to 163.51, 225.62 and 98 is: 135.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.51 : 225.62 = 98 : x
  2. Step 2: Convert to fraction form
    163.51/225.62 = 98/x
  3. Step 3: Cross multiply
    163.51x = 225.62 × 98
  4. Step 4: Simplify right side
    163.51x = 22,110.27
  5. Step 5: Solve for x
    x = 22,110.27/163.51
  6. Step 6: Final answer
    x = 135.23

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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.