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Finding the Fourth Proportional to 161.31, 242 and 53.11

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Solution

The fourth proportional to 161.31, 242 and 53.11 is: 79.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.31 : 242 = 53.11 : x
  2. Step 2: Convert to fraction form
    161.31/242 = 53.11/x
  3. Step 3: Cross multiply
    161.31x = 242 × 53.11
  4. Step 4: Simplify right side
    161.31x = 12,852.62
  5. Step 5: Solve for x
    x = 12,852.62/161.31
  6. Step 6: Final answer
    x = 79.68

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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.