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Finding the Fourth Proportional to 164.76, 227.37 and 99.27

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Solution

The fourth proportional to 164.76, 227.37 and 99.27 is: 136.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.76 : 227.37 = 99.27 : x
  2. Step 2: Convert to fraction form
    164.76/227.37 = 99.27/x
  3. Step 3: Cross multiply
    164.76x = 227.37 × 99.27
  4. Step 4: Simplify right side
    164.76x = 22,571.02
  5. Step 5: Solve for x
    x = 22,571.02/164.76
  6. Step 6: Final answer
    x = 136.99

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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.