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Finding the Fourth Proportional to 272.05, 408.08 and 98.72

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Solution

The fourth proportional to 272.05, 408.08 and 98.72 is: 148.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.05 : 408.08 = 98.72 : x
  2. Step 2: Convert to fraction form
    272.05/408.08 = 98.72/x
  3. Step 3: Cross multiply
    272.05x = 408.08 × 98.72
  4. Step 4: Simplify right side
    272.05x = 40,283.12
  5. Step 5: Solve for x
    x = 40,283.12/272.05
  6. Step 6: Final answer
    x = 148.07

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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.