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Finding the Fourth Proportional to 161.31, 241.81 and 58.54

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Solution

The fourth proportional to 161.31, 241.81 and 58.54 is: 87.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.31 : 241.81 = 58.54 : x
  2. Step 2: Convert to fraction form
    161.31/241.81 = 58.54/x
  3. Step 3: Cross multiply
    161.31x = 241.81 × 58.54
  4. Step 4: Simplify right side
    161.31x = 14,155.56
  5. Step 5: Solve for x
    x = 14,155.56/161.31
  6. Step 6: Final answer
    x = 87.75

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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.