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Finding the Fourth Proportional to 109.04, 164.54 and 105.44

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Solution

The fourth proportional to 109.04, 164.54 and 105.44 is: 159.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.04 : 164.54 = 105.44 : x
  2. Step 2: Convert to fraction form
    109.04/164.54 = 105.44/x
  3. Step 3: Cross multiply
    109.04x = 164.54 × 105.44
  4. Step 4: Simplify right side
    109.04x = 17,349.10
  5. Step 5: Solve for x
    x = 17,349.10/109.04
  6. Step 6: Final answer
    x = 159.11

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Why These Related Problems?

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