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Finding the Fourth Proportional to 164.47, 227.07 and 105.46

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Solution

The fourth proportional to 164.47, 227.07 and 105.46 is: 145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.47 : 227.07 = 105.46 : x
  2. Step 2: Convert to fraction form
    164.47/227.07 = 105.46/x
  3. Step 3: Cross multiply
    164.47x = 227.07 × 105.46
  4. Step 4: Simplify right side
    164.47x = 23,946.80
  5. Step 5: Solve for x
    x = 23,946.80/164.47
  6. Step 6: Final answer
    x = 145.60

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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.