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Finding the Fourth Proportional to 160.86, 241.09 and 83.70

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Solution

The fourth proportional to 160.86, 241.09 and 83.70 is: 125.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.86 : 241.09 = 83.70 : x
  2. Step 2: Convert to fraction form
    160.86/241.09 = 83.70/x
  3. Step 3: Cross multiply
    160.86x = 241.09 × 83.70
  4. Step 4: Simplify right side
    160.86x = 20,179.23
  5. Step 5: Solve for x
    x = 20,179.23/160.86
  6. Step 6: Final answer
    x = 125.45

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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.