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Finding the Fourth Proportional to 160.90, 241.17 and 69.64

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Solution

The fourth proportional to 160.90, 241.17 and 69.64 is: 104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.90 : 241.17 = 69.64 : x
  2. Step 2: Convert to fraction form
    160.90/241.17 = 69.64/x
  3. Step 3: Cross multiply
    160.90x = 241.17 × 69.64
  4. Step 4: Simplify right side
    160.90x = 16,795.08
  5. Step 5: Solve for x
    x = 16,795.08/160.90
  6. Step 6: Final answer
    x = 104.38

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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.