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Finding the Fourth Proportional to 109.20, 164.59 and 104.32

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Solution

The fourth proportional to 109.20, 164.59 and 104.32 is: 157.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.20 : 164.59 = 104.32 : x
  2. Step 2: Convert to fraction form
    109.20/164.59 = 104.32/x
  3. Step 3: Cross multiply
    109.20x = 164.59 × 104.32
  4. Step 4: Simplify right side
    109.20x = 17,170.03
  5. Step 5: Solve for x
    x = 17,170.03/109.20
  6. Step 6: Final answer
    x = 157.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.