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Finding the Fourth Proportional to 164.10, 226.40 and 97.70

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Solution

The fourth proportional to 164.10, 226.40 and 97.70 is: 134.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.10 : 226.40 = 97.70 : x
  2. Step 2: Convert to fraction form
    164.10/226.40 = 97.70/x
  3. Step 3: Cross multiply
    164.10x = 226.40 × 97.70
  4. Step 4: Simplify right side
    164.10x = 22,119.28
  5. Step 5: Solve for x
    x = 22,119.28/164.10
  6. Step 6: Final answer
    x = 134.79

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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.