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Finding the Fourth Proportional to 160.97, 241.65 and 109.40

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Solution

The fourth proportional to 160.97, 241.65 and 109.40 is: 164.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.97 : 241.65 = 109.40 : x
  2. Step 2: Convert to fraction form
    160.97/241.65 = 109.40/x
  3. Step 3: Cross multiply
    160.97x = 241.65 × 109.40
  4. Step 4: Simplify right side
    160.97x = 26,435.30
  5. Step 5: Solve for x
    x = 26,435.30/160.97
  6. Step 6: Final answer
    x = 164.23

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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.