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Finding the Fourth Proportional to 163.77, 225.95 and 97.35

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Solution

The fourth proportional to 163.77, 225.95 and 97.35 is: 134.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.77 : 225.95 = 97.35 : x
  2. Step 2: Convert to fraction form
    163.77/225.95 = 97.35/x
  3. Step 3: Cross multiply
    163.77x = 225.95 × 97.35
  4. Step 4: Simplify right side
    163.77x = 21,994.62
  5. Step 5: Solve for x
    x = 21,994.62/163.77
  6. Step 6: Final answer
    x = 134.31

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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.