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Finding the Fourth Proportional to 181.06, 271.69 and 89.84

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Solution

The fourth proportional to 181.06, 271.69 and 89.84 is: 134.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.06 : 271.69 = 89.84 : x
  2. Step 2: Convert to fraction form
    181.06/271.69 = 89.84/x
  3. Step 3: Cross multiply
    181.06x = 271.69 × 89.84
  4. Step 4: Simplify right side
    181.06x = 24,409.08
  5. Step 5: Solve for x
    x = 24,409.08/181.06
  6. Step 6: Final answer
    x = 134.81

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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.