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Finding the Fourth Proportional to 109.90, 164.55 and 82.75

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Solution

The fourth proportional to 109.90, 164.55 and 82.75 is: 123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.90 : 164.55 = 82.75 : x
  2. Step 2: Convert to fraction form
    109.90/164.55 = 82.75/x
  3. Step 3: Cross multiply
    109.90x = 164.55 × 82.75
  4. Step 4: Simplify right side
    109.90x = 13,616.51
  5. Step 5: Solve for x
    x = 13,616.51/109.90
  6. Step 6: Final answer
    x = 123.90

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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.