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Finding the Fourth Proportional to 158.30, 218.41 and 96.13

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Solution

The fourth proportional to 158.30, 218.41 and 96.13 is: 132.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.30 : 218.41 = 96.13 : x
  2. Step 2: Convert to fraction form
    158.30/218.41 = 96.13/x
  3. Step 3: Cross multiply
    158.30x = 218.41 × 96.13
  4. Step 4: Simplify right side
    158.30x = 20,994.97
  5. Step 5: Solve for x
    x = 20,994.97/158.30
  6. Step 6: Final answer
    x = 132.63

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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.