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Finding the Fourth Proportional to 109.75, 164.69 and 52.75

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Solution

The fourth proportional to 109.75, 164.69 and 52.75 is: 79.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.75 : 164.69 = 52.75 : x
  2. Step 2: Convert to fraction form
    109.75/164.69 = 52.75/x
  3. Step 3: Cross multiply
    109.75x = 164.69 × 52.75
  4. Step 4: Simplify right side
    109.75x = 8,687.13
  5. Step 5: Solve for x
    x = 8,687.13/109.75
  6. Step 6: Final answer
    x = 79.15

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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.