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Finding the Fourth Proportional to 160.78, 241.08 and 92.14

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Solution

The fourth proportional to 160.78, 241.08 and 92.14 is: 138.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.78 : 241.08 = 92.14 : x
  2. Step 2: Convert to fraction form
    160.78/241.08 = 92.14/x
  3. Step 3: Cross multiply
    160.78x = 241.08 × 92.14
  4. Step 4: Simplify right side
    160.78x = 22,213.11
  5. Step 5: Solve for x
    x = 22,213.11/160.78
  6. Step 6: Final answer
    x = 138.16

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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.