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Finding the Fourth Proportional to 161.78, 242.70 and 53.54

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Solution

The fourth proportional to 161.78, 242.70 and 53.54 is: 80.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.78 : 242.70 = 53.54 : x
  2. Step 2: Convert to fraction form
    161.78/242.70 = 53.54/x
  3. Step 3: Cross multiply
    161.78x = 242.70 × 53.54
  4. Step 4: Simplify right side
    161.78x = 12,994.16
  5. Step 5: Solve for x
    x = 12,994.16/161.78
  6. Step 6: Final answer
    x = 80.32

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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.