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Finding the Fourth Proportional to 153.49, 212.09 and 111.97

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Solution

The fourth proportional to 153.49, 212.09 and 111.97 is: 154.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.49 : 212.09 = 111.97 : x
  2. Step 2: Convert to fraction form
    153.49/212.09 = 111.97/x
  3. Step 3: Cross multiply
    153.49x = 212.09 × 111.97
  4. Step 4: Simplify right side
    153.49x = 23,747.19
  5. Step 5: Solve for x
    x = 23,747.19/153.49
  6. Step 6: Final answer
    x = 154.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.