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Finding the Fourth Proportional to 132.87, 199.07 and 75.75

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Solution

The fourth proportional to 132.87, 199.07 and 75.75 is: 113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.87 : 199.07 = 75.75 : x
  2. Step 2: Convert to fraction form
    132.87/199.07 = 75.75/x
  3. Step 3: Cross multiply
    132.87x = 199.07 × 75.75
  4. Step 4: Simplify right side
    132.87x = 15,079.17
  5. Step 5: Solve for x
    x = 15,079.17/132.87
  6. Step 6: Final answer
    x = 113.49

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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.