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Finding the Fourth Proportional to 160.72, 241.12 and 97.04

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Solution

The fourth proportional to 160.72, 241.12 and 97.04 is: 145.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.72 : 241.12 = 97.04 : x
  2. Step 2: Convert to fraction form
    160.72/241.12 = 97.04/x
  3. Step 3: Cross multiply
    160.72x = 241.12 × 97.04
  4. Step 4: Simplify right side
    160.72x = 23,398.28
  5. Step 5: Solve for x
    x = 23,398.28/160.72
  6. Step 6: Final answer
    x = 145.58

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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.