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Finding the Fourth Proportional to 160.84, 241.33 and 100.09

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Solution

The fourth proportional to 160.84, 241.33 and 100.09 is: 150.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.84 : 241.33 = 100.09 : x
  2. Step 2: Convert to fraction form
    160.84/241.33 = 100.09/x
  3. Step 3: Cross multiply
    160.84x = 241.33 × 100.09
  4. Step 4: Simplify right side
    160.84x = 24,153.60
  5. Step 5: Solve for x
    x = 24,153.60/160.84
  6. Step 6: Final answer
    x = 150.18

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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.