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Finding the Fourth Proportional to 133.50, 199.89 and 75.64

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Solution

The fourth proportional to 133.50, 199.89 and 75.64 is: 113.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.50 : 199.89 = 75.64 : x
  2. Step 2: Convert to fraction form
    133.50/199.89 = 75.64/x
  3. Step 3: Cross multiply
    133.50x = 199.89 × 75.64
  4. Step 4: Simplify right side
    133.50x = 15,119.18
  5. Step 5: Solve for x
    x = 15,119.18/133.50
  6. Step 6: Final answer
    x = 113.25

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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.