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Finding the Fourth Proportional to 160.85, 241.27 and 46.85

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Solution

The fourth proportional to 160.85, 241.27 and 46.85 is: 70.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.85 : 241.27 = 46.85 : x
  2. Step 2: Convert to fraction form
    160.85/241.27 = 46.85/x
  3. Step 3: Cross multiply
    160.85x = 241.27 × 46.85
  4. Step 4: Simplify right side
    160.85x = 11,303.50
  5. Step 5: Solve for x
    x = 11,303.50/160.85
  6. Step 6: Final answer
    x = 70.27

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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.