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Finding the Fourth Proportional to 109.30, 164.04 and 85.41

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Solution

The fourth proportional to 109.30, 164.04 and 85.41 is: 128.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.30 : 164.04 = 85.41 : x
  2. Step 2: Convert to fraction form
    109.30/164.04 = 85.41/x
  3. Step 3: Cross multiply
    109.30x = 164.04 × 85.41
  4. Step 4: Simplify right side
    109.30x = 14,010.66
  5. Step 5: Solve for x
    x = 14,010.66/109.30
  6. Step 6: Final answer
    x = 128.19

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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.