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Finding the Fourth Proportional to 109.84, 164.83 and 55.74

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Solution

The fourth proportional to 109.84, 164.83 and 55.74 is: 83.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.84 : 164.83 = 55.74 : x
  2. Step 2: Convert to fraction form
    109.84/164.83 = 55.74/x
  3. Step 3: Cross multiply
    109.84x = 164.83 × 55.74
  4. Step 4: Simplify right side
    109.84x = 9,187.62
  5. Step 5: Solve for x
    x = 9,187.62/109.84
  6. Step 6: Final answer
    x = 83.65

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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.