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Finding the Fourth Proportional to 132.89, 198.95 and 75.00

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Solution

The fourth proportional to 132.89, 198.95 and 75.00 is: 112.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.89 : 198.95 = 75.00 : x
  2. Step 2: Convert to fraction form
    132.89/198.95 = 75.00/x
  3. Step 3: Cross multiply
    132.89x = 198.95 × 75.00
  4. Step 4: Simplify right side
    132.89x = 14,921.62
  5. Step 5: Solve for x
    x = 14,921.62/132.89
  6. Step 6: Final answer
    x = 112.29

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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.