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Finding the Fourth Proportional to 161.98, 242.89 and 53.77

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Solution

The fourth proportional to 161.98, 242.89 and 53.77 is: 80.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.98 : 242.89 = 53.77 : x
  2. Step 2: Convert to fraction form
    161.98/242.89 = 53.77/x
  3. Step 3: Cross multiply
    161.98x = 242.89 × 53.77
  4. Step 4: Simplify right side
    161.98x = 13,060.20
  5. Step 5: Solve for x
    x = 13,060.20/161.98
  6. Step 6: Final answer
    x = 80.63

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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.