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Finding the Fourth Proportional to 153.97, 231.06 and 72.82

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Solution

The fourth proportional to 153.97, 231.06 and 72.82 is: 109.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.97 : 231.06 = 72.82 : x
  2. Step 2: Convert to fraction form
    153.97/231.06 = 72.82/x
  3. Step 3: Cross multiply
    153.97x = 231.06 × 72.82
  4. Step 4: Simplify right side
    153.97x = 16,824.94
  5. Step 5: Solve for x
    x = 16,824.94/153.97
  6. Step 6: Final answer
    x = 109.27

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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.