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Finding the Fourth Proportional to 161.54, 242 and 100.54

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Solution

The fourth proportional to 161.54, 242 and 100.54 is: 150.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.54 : 242 = 100.54 : x
  2. Step 2: Convert to fraction form
    161.54/242 = 100.54/x
  3. Step 3: Cross multiply
    161.54x = 242 × 100.54
  4. Step 4: Simplify right side
    161.54x = 24,330.68
  5. Step 5: Solve for x
    x = 24,330.68/161.54
  6. Step 6: Final answer
    x = 150.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.