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Finding the Fourth Proportional to 160.76, 241.50 and 106.76

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Solution

The fourth proportional to 160.76, 241.50 and 106.76 is: 160.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.76 : 241.50 = 106.76 : x
  2. Step 2: Convert to fraction form
    160.76/241.50 = 106.76/x
  3. Step 3: Cross multiply
    160.76x = 241.50 × 106.76
  4. Step 4: Simplify right side
    160.76x = 25,782.54
  5. Step 5: Solve for x
    x = 25,782.54/160.76
  6. Step 6: Final answer
    x = 160.38

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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.