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Finding the Fourth Proportional to 109.54, 164.13 and 54.64

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Solution

The fourth proportional to 109.54, 164.13 and 54.64 is: 81.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.54 : 164.13 = 54.64 : x
  2. Step 2: Convert to fraction form
    109.54/164.13 = 54.64/x
  3. Step 3: Cross multiply
    109.54x = 164.13 × 54.64
  4. Step 4: Simplify right side
    109.54x = 8,967.37
  5. Step 5: Solve for x
    x = 8,967.37/109.54
  6. Step 6: Final answer
    x = 81.86

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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.