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Finding the Fourth Proportional to 164.62, 227.22 and 99.13

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Solution

The fourth proportional to 164.62, 227.22 and 99.13 is: 136.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.62 : 227.22 = 99.13 : x
  2. Step 2: Convert to fraction form
    164.62/227.22 = 99.13/x
  3. Step 3: Cross multiply
    164.62x = 227.22 × 99.13
  4. Step 4: Simplify right side
    164.62x = 22,524.32
  5. Step 5: Solve for x
    x = 22,524.32/164.62
  6. Step 6: Final answer
    x = 136.83

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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.