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Finding the Fourth Proportional to 164.72, 227.24 and 95.72

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Solution

The fourth proportional to 164.72, 227.24 and 95.72 is: 132.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.72 : 227.24 = 95.72 : x
  2. Step 2: Convert to fraction form
    164.72/227.24 = 95.72/x
  3. Step 3: Cross multiply
    164.72x = 227.24 × 95.72
  4. Step 4: Simplify right side
    164.72x = 21,751.41
  5. Step 5: Solve for x
    x = 21,751.41/164.72
  6. Step 6: Final answer
    x = 132.05

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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.