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Finding the Fourth Proportional to 164.77, 227.43 and 99.29

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Solution

The fourth proportional to 164.77, 227.43 and 99.29 is: 137.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.77 : 227.43 = 99.29 : x
  2. Step 2: Convert to fraction form
    164.77/227.43 = 99.29/x
  3. Step 3: Cross multiply
    164.77x = 227.43 × 99.29
  4. Step 4: Simplify right side
    164.77x = 22,581.52
  5. Step 5: Solve for x
    x = 22,581.52/164.77
  6. Step 6: Final answer
    x = 137.05

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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.