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Finding the Fourth Proportional to 160.90, 221.97 and 109.06

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Solution

The fourth proportional to 160.90, 221.97 and 109.06 is: 150.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.90 : 221.97 = 109.06 : x
  2. Step 2: Convert to fraction form
    160.90/221.97 = 109.06/x
  3. Step 3: Cross multiply
    160.90x = 221.97 × 109.06
  4. Step 4: Simplify right side
    160.90x = 24,208.05
  5. Step 5: Solve for x
    x = 24,208.05/160.90
  6. Step 6: Final answer
    x = 150.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.