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Finding the Fourth Proportional to 272.52, 408.54 and 99.07

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Solution

The fourth proportional to 272.52, 408.54 and 99.07 is: 148.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.52 : 408.54 = 99.07 : x
  2. Step 2: Convert to fraction form
    272.52/408.54 = 99.07/x
  3. Step 3: Cross multiply
    272.52x = 408.54 × 99.07
  4. Step 4: Simplify right side
    272.52x = 40,473.41
  5. Step 5: Solve for x
    x = 40,473.41/272.52
  6. Step 6: Final answer
    x = 148.52

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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.