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Finding the Fourth Proportional to 164.41, 226.93 and 106.19

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Solution

The fourth proportional to 164.41, 226.93 and 106.19 is: 146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.41 : 226.93 = 106.19 : x
  2. Step 2: Convert to fraction form
    164.41/226.93 = 106.19/x
  3. Step 3: Cross multiply
    164.41x = 226.93 × 106.19
  4. Step 4: Simplify right side
    164.41x = 24,097.70
  5. Step 5: Solve for x
    x = 24,097.70/164.41
  6. Step 6: Final answer
    x = 146.57

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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.