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Finding the Fourth Proportional to 164, 226.37 and 105.77

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Solution

The fourth proportional to 164, 226.37 and 105.77 is: 145.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    164 : 226.37 = 105.77 : x
  2. Step 2: Convert to fraction form
    164/226.37 = 105.77/x
  3. Step 3: Cross multiply
    164x = 226.37 × 105.77
  4. Step 4: Simplify right side
    164x = 23,943.15
  5. Step 5: Solve for x
    x = 23,943.15/164
  6. Step 6: Final answer
    x = 145.99

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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.