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Finding the Fourth Proportional to 161.27, 241.90 and 53.06

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Solution

The fourth proportional to 161.27, 241.90 and 53.06 is: 79.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.27 : 241.90 = 53.06 : x
  2. Step 2: Convert to fraction form
    161.27/241.90 = 53.06/x
  3. Step 3: Cross multiply
    161.27x = 241.90 × 53.06
  4. Step 4: Simplify right side
    161.27x = 12,835.69
  5. Step 5: Solve for x
    x = 12,835.69/161.27
  6. Step 6: Final answer
    x = 79.59

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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.