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Finding the Fourth Proportional to 160.77, 241.17 and 45.23

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Solution

The fourth proportional to 160.77, 241.17 and 45.23 is: 67.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.77 : 241.17 = 45.23 : x
  2. Step 2: Convert to fraction form
    160.77/241.17 = 45.23/x
  3. Step 3: Cross multiply
    160.77x = 241.17 × 45.23
  4. Step 4: Simplify right side
    160.77x = 10,906.69
  5. Step 5: Solve for x
    x = 10,906.69/160.77
  6. Step 6: Final answer
    x = 67.84

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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.