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Finding the Fourth Proportional to 132.82, 198.72 and 100.30

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Solution

The fourth proportional to 132.82, 198.72 and 100.30 is: 150.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.82 : 198.72 = 100.30 : x
  2. Step 2: Convert to fraction form
    132.82/198.72 = 100.30/x
  3. Step 3: Cross multiply
    132.82x = 198.72 × 100.30
  4. Step 4: Simplify right side
    132.82x = 19,931.62
  5. Step 5: Solve for x
    x = 19,931.62/132.82
  6. Step 6: Final answer
    x = 150.06

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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.