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Finding the Fourth Proportional to 133.06, 199.41 and 96.88

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Solution

The fourth proportional to 133.06, 199.41 and 96.88 is: 145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.06 : 199.41 = 96.88 : x
  2. Step 2: Convert to fraction form
    133.06/199.41 = 96.88/x
  3. Step 3: Cross multiply
    133.06x = 199.41 × 96.88
  4. Step 4: Simplify right side
    133.06x = 19,318.84
  5. Step 5: Solve for x
    x = 19,318.84/133.06
  6. Step 6: Final answer
    x = 145.19

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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.