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Finding the Fourth Proportional to 109.46, 164.19 and 55.46

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Solution

The fourth proportional to 109.46, 164.19 and 55.46 is: 83.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.46 : 164.19 = 55.46 : x
  2. Step 2: Convert to fraction form
    109.46/164.19 = 55.46/x
  3. Step 3: Cross multiply
    109.46x = 164.19 × 55.46
  4. Step 4: Simplify right side
    109.46x = 9,105.98
  5. Step 5: Solve for x
    x = 9,105.98/109.46
  6. Step 6: Final answer
    x = 83.19

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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.