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Finding the Fourth Proportional to 163.80, 225.92 and 117.08

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Solution

The fourth proportional to 163.80, 225.92 and 117.08 is: 161.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.80 : 225.92 = 117.08 : x
  2. Step 2: Convert to fraction form
    163.80/225.92 = 117.08/x
  3. Step 3: Cross multiply
    163.80x = 225.92 × 117.08
  4. Step 4: Simplify right side
    163.80x = 26,450.71
  5. Step 5: Solve for x
    x = 26,450.71/163.80
  6. Step 6: Final answer
    x = 161.48

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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.