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Finding the Fourth Proportional to 164.68, 227.24 and 99.16

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Solution

The fourth proportional to 164.68, 227.24 and 99.16 is: 136.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.68 : 227.24 = 99.16 : x
  2. Step 2: Convert to fraction form
    164.68/227.24 = 99.16/x
  3. Step 3: Cross multiply
    164.68x = 227.24 × 99.16
  4. Step 4: Simplify right side
    164.68x = 22,533.12
  5. Step 5: Solve for x
    x = 22,533.12/164.68
  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.