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Finding the Fourth Proportional to 181.34, 271.53 and 100.07

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Solution

The fourth proportional to 181.34, 271.53 and 100.07 is: 149.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.34 : 271.53 = 100.07 : x
  2. Step 2: Convert to fraction form
    181.34/271.53 = 100.07/x
  3. Step 3: Cross multiply
    181.34x = 271.53 × 100.07
  4. Step 4: Simplify right side
    181.34x = 27,170.65
  5. Step 5: Solve for x
    x = 27,170.65/181.34
  6. Step 6: Final answer
    x = 149.84

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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.