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Finding the Fourth Proportional to 181.06, 271.53 and 83.50

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Solution

The fourth proportional to 181.06, 271.53 and 83.50 is: 125.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.06 : 271.53 = 83.50 : x
  2. Step 2: Convert to fraction form
    181.06/271.53 = 83.50/x
  3. Step 3: Cross multiply
    181.06x = 271.53 × 83.50
  4. Step 4: Simplify right side
    181.06x = 22,672.76
  5. Step 5: Solve for x
    x = 22,672.76/181.06
  6. Step 6: Final answer
    x = 125.22

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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.