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Finding the Fourth Proportional to 161.99, 242.75 and 127.82

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Solution

The fourth proportional to 161.99, 242.75 and 127.82 is: 191.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.99 : 242.75 = 127.82 : x
  2. Step 2: Convert to fraction form
    161.99/242.75 = 127.82/x
  3. Step 3: Cross multiply
    161.99x = 242.75 × 127.82
  4. Step 4: Simplify right side
    161.99x = 31,028.31
  5. Step 5: Solve for x
    x = 31,028.31/161.99
  6. Step 6: Final answer
    x = 191.54

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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.