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Finding the Fourth Proportional to 164.54, 227.08 and 99.08

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Solution

The fourth proportional to 164.54, 227.08 and 99.08 is: 136.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.54 : 227.08 = 99.08 : x
  2. Step 2: Convert to fraction form
    164.54/227.08 = 99.08/x
  3. Step 3: Cross multiply
    164.54x = 227.08 × 99.08
  4. Step 4: Simplify right side
    164.54x = 22,499.09
  5. Step 5: Solve for x
    x = 22,499.09/164.54
  6. Step 6: Final answer
    x = 136.74

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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.