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Finding the Fourth Proportional to 132.92, 198.61 and 98.07

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Solution

The fourth proportional to 132.92, 198.61 and 98.07 is: 146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.92 : 198.61 = 98.07 : x
  2. Step 2: Convert to fraction form
    132.92/198.61 = 98.07/x
  3. Step 3: Cross multiply
    132.92x = 198.61 × 98.07
  4. Step 4: Simplify right side
    132.92x = 19,477.68
  5. Step 5: Solve for x
    x = 19,477.68/132.92
  6. Step 6: Final answer
    x = 146.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.