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Finding the Fourth Proportional to 109.65, 164.43 and 40.23

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Solution

The fourth proportional to 109.65, 164.43 and 40.23 is: 60.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.65 : 164.43 = 40.23 : x
  2. Step 2: Convert to fraction form
    109.65/164.43 = 40.23/x
  3. Step 3: Cross multiply
    109.65x = 164.43 × 40.23
  4. Step 4: Simplify right side
    109.65x = 6,615.02
  5. Step 5: Solve for x
    x = 6,615.02/109.65
  6. Step 6: Final answer
    x = 60.33

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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.