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Finding the Fourth Proportional to 133.66, 200.32 and 75.91

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Solution

The fourth proportional to 133.66, 200.32 and 75.91 is: 113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.66 : 200.32 = 75.91 : x
  2. Step 2: Convert to fraction form
    133.66/200.32 = 75.91/x
  3. Step 3: Cross multiply
    133.66x = 200.32 × 75.91
  4. Step 4: Simplify right side
    133.66x = 15,206.29
  5. Step 5: Solve for x
    x = 15,206.29/133.66
  6. Step 6: Final answer
    x = 113.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.