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Finding the Fourth Proportional to 163.77, 225.86 and 117.06

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Solution

The fourth proportional to 163.77, 225.86 and 117.06 is: 161.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.77 : 225.86 = 117.06 : x
  2. Step 2: Convert to fraction form
    163.77/225.86 = 117.06/x
  3. Step 3: Cross multiply
    163.77x = 225.86 × 117.06
  4. Step 4: Simplify right side
    163.77x = 26,438.33
  5. Step 5: Solve for x
    x = 26,438.33/163.77
  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.