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Finding the Fourth Proportional to 158.22, 218.33 and 96.03

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Solution

The fourth proportional to 158.22, 218.33 and 96.03 is: 132.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.22 : 218.33 = 96.03 : x
  2. Step 2: Convert to fraction form
    158.22/218.33 = 96.03/x
  3. Step 3: Cross multiply
    158.22x = 218.33 × 96.03
  4. Step 4: Simplify right side
    158.22x = 20,965.75
  5. Step 5: Solve for x
    x = 20,965.75/158.22
  6. Step 6: Final answer
    x = 132.51

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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.