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Finding the Fourth Proportional to 109.56, 164.31 and 51.78

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Solution

The fourth proportional to 109.56, 164.31 and 51.78 is: 77.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.56 : 164.31 = 51.78 : x
  2. Step 2: Convert to fraction form
    109.56/164.31 = 51.78/x
  3. Step 3: Cross multiply
    109.56x = 164.31 × 51.78
  4. Step 4: Simplify right side
    109.56x = 8,507.97
  5. Step 5: Solve for x
    x = 8,507.97/109.56
  6. Step 6: Final answer
    x = 77.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.