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Finding the Fourth Proportional to 158.98, 219.42 and 96.82

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Solution

The fourth proportional to 158.98, 219.42 and 96.82 is: 133.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.98 : 219.42 = 96.82 : x
  2. Step 2: Convert to fraction form
    158.98/219.42 = 96.82/x
  3. Step 3: Cross multiply
    158.98x = 219.42 × 96.82
  4. Step 4: Simplify right side
    158.98x = 21,244.24
  5. Step 5: Solve for x
    x = 21,244.24/158.98
  6. Step 6: Final answer
    x = 133.63

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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.