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Finding the Fourth Proportional to 164.74, 227.46 and 99.33

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Solution

The fourth proportional to 164.74, 227.46 and 99.33 is: 137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.74 : 227.46 = 99.33 : x
  2. Step 2: Convert to fraction form
    164.74/227.46 = 99.33/x
  3. Step 3: Cross multiply
    164.74x = 227.46 × 99.33
  4. Step 4: Simplify right side
    164.74x = 22,592.46
  5. Step 5: Solve for x
    x = 22,592.46/164.74
  6. Step 6: Final answer
    x = 137.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.