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Finding the Fourth Proportional to 164.76, 227.42 and 99.27

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Solution

The fourth proportional to 164.76, 227.42 and 99.27 is: 137.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.76 : 227.42 = 99.27 : x
  2. Step 2: Convert to fraction form
    164.76/227.42 = 99.27/x
  3. Step 3: Cross multiply
    164.76x = 227.42 × 99.27
  4. Step 4: Simplify right side
    164.76x = 22,575.49
  5. Step 5: Solve for x
    x = 22,575.49/164.76
  6. Step 6: Final answer
    x = 137.02

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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.