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Finding the Fourth Proportional to 132.54, 198.69 and 51.37

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Solution

The fourth proportional to 132.54, 198.69 and 51.37 is: 77.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.54 : 198.69 = 51.37 : x
  2. Step 2: Convert to fraction form
    132.54/198.69 = 51.37/x
  3. Step 3: Cross multiply
    132.54x = 198.69 × 51.37
  4. Step 4: Simplify right side
    132.54x = 10,205.46
  5. Step 5: Solve for x
    x = 10,205.46/132.54
  6. Step 6: Final answer
    x = 77.00

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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.