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Finding the Fourth Proportional to 164.55, 227.10 and 105.54

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Solution

The fourth proportional to 164.55, 227.10 and 105.54 is: 145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.55 : 227.10 = 105.54 : x
  2. Step 2: Convert to fraction form
    164.55/227.10 = 105.54/x
  3. Step 3: Cross multiply
    164.55x = 227.10 × 105.54
  4. Step 4: Simplify right side
    164.55x = 23,968.13
  5. Step 5: Solve for x
    x = 23,968.13/164.55
  6. Step 6: Final answer
    x = 145.66

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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.