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Finding the Fourth Proportional to 164.95, 227.96 and 123.64

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Solution

The fourth proportional to 164.95, 227.96 and 123.64 is: 170.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.95 : 227.96 = 123.64 : x
  2. Step 2: Convert to fraction form
    164.95/227.96 = 123.64/x
  3. Step 3: Cross multiply
    164.95x = 227.96 × 123.64
  4. Step 4: Simplify right side
    164.95x = 28,184.97
  5. Step 5: Solve for x
    x = 28,184.97/164.95
  6. Step 6: Final answer
    x = 170.87

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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.