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Finding the Fourth Proportional to 132.19, 198 and 98.01

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Solution

The fourth proportional to 132.19, 198 and 98.01 is: 146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.19 : 198 = 98.01 : x
  2. Step 2: Convert to fraction form
    132.19/198 = 98.01/x
  3. Step 3: Cross multiply
    132.19x = 198 × 98.01
  4. Step 4: Simplify right side
    132.19x = 19,405.98
  5. Step 5: Solve for x
    x = 19,405.98/132.19
  6. Step 6: Final answer
    x = 146.81

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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.