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Finding the Fourth Proportional to 109.65, 164.23 and 75.33

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Solution

The fourth proportional to 109.65, 164.23 and 75.33 is: 112.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.65 : 164.23 = 75.33 : x
  2. Step 2: Convert to fraction form
    109.65/164.23 = 75.33/x
  3. Step 3: Cross multiply
    109.65x = 164.23 × 75.33
  4. Step 4: Simplify right side
    109.65x = 12,371.26
  5. Step 5: Solve for x
    x = 12,371.26/109.65
  6. Step 6: Final answer
    x = 112.82

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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.