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Finding the Fourth Proportional to 164.12, 226.50 and 97.75

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Solution

The fourth proportional to 164.12, 226.50 and 97.75 is: 134.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.12 : 226.50 = 97.75 : x
  2. Step 2: Convert to fraction form
    164.12/226.50 = 97.75/x
  3. Step 3: Cross multiply
    164.12x = 226.50 × 97.75
  4. Step 4: Simplify right side
    164.12x = 22,140.48
  5. Step 5: Solve for x
    x = 22,140.48/164.12
  6. Step 6: Final answer
    x = 134.91

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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.