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Finding the Fourth Proportional to 163.78, 225.85 and 117.07

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Solution

The fourth proportional to 163.78, 225.85 and 117.07 is: 161.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.78 : 225.85 = 117.07 : x
  2. Step 2: Convert to fraction form
    163.78/225.85 = 117.07/x
  3. Step 3: Cross multiply
    163.78x = 225.85 × 117.07
  4. Step 4: Simplify right side
    163.78x = 26,440.26
  5. Step 5: Solve for x
    x = 26,440.26/163.78
  6. Step 6: Final answer
    x = 161.44

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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.