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Finding the Fourth Proportional to 161.21, 241.85 and 53.07

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Solution

The fourth proportional to 161.21, 241.85 and 53.07 is: 79.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.21 : 241.85 = 53.07 : x
  2. Step 2: Convert to fraction form
    161.21/241.85 = 53.07/x
  3. Step 3: Cross multiply
    161.21x = 241.85 × 53.07
  4. Step 4: Simplify right side
    161.21x = 12,835.11
  5. Step 5: Solve for x
    x = 12,835.11/161.21
  6. Step 6: Final answer
    x = 79.62

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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.