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Finding the Fourth Proportional to 181.83, 272.74 and 60.18

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Solution

The fourth proportional to 181.83, 272.74 and 60.18 is: 90.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.83 : 272.74 = 60.18 : x
  2. Step 2: Convert to fraction form
    181.83/272.74 = 60.18/x
  3. Step 3: Cross multiply
    181.83x = 272.74 × 60.18
  4. Step 4: Simplify right side
    181.83x = 16,413.49
  5. Step 5: Solve for x
    x = 16,413.49/181.83
  6. Step 6: Final answer
    x = 90.27

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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.