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Finding the Fourth Proportional to 160.72, 241.22 and 111.80

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Solution

The fourth proportional to 160.72, 241.22 and 111.80 is: 167.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.72 : 241.22 = 111.80 : x
  2. Step 2: Convert to fraction form
    160.72/241.22 = 111.80/x
  3. Step 3: Cross multiply
    160.72x = 241.22 × 111.80
  4. Step 4: Simplify right side
    160.72x = 26,968.71
  5. Step 5: Solve for x
    x = 26,968.71/160.72
  6. Step 6: Final answer
    x = 167.80

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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.