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Finding the Fourth Proportional to 272.42, 408.56 and 110.06

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Solution

The fourth proportional to 272.42, 408.56 and 110.06 is: 165.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.42 : 408.56 = 110.06 : x
  2. Step 2: Convert to fraction form
    272.42/408.56 = 110.06/x
  3. Step 3: Cross multiply
    272.42x = 408.56 × 110.06
  4. Step 4: Simplify right side
    272.42x = 44,966.11
  5. Step 5: Solve for x
    x = 44,966.11/272.42
  6. Step 6: Final answer
    x = 165.06

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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.