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Finding the Fourth Proportional to 161.99, 242.97 and 53.77

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Solution

The fourth proportional to 161.99, 242.97 and 53.77 is: 80.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.99 : 242.97 = 53.77 : x
  2. Step 2: Convert to fraction form
    161.99/242.97 = 53.77/x
  3. Step 3: Cross multiply
    161.99x = 242.97 × 53.77
  4. Step 4: Simplify right side
    161.99x = 13,064.50
  5. Step 5: Solve for x
    x = 13,064.50/161.99
  6. Step 6: Final answer
    x = 80.65

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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.