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Finding the Fourth Proportional to 132.35, 198.72 and 107.01

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Solution

The fourth proportional to 132.35, 198.72 and 107.01 is: 160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.35 : 198.72 = 107.01 : x
  2. Step 2: Convert to fraction form
    132.35/198.72 = 107.01/x
  3. Step 3: Cross multiply
    132.35x = 198.72 × 107.01
  4. Step 4: Simplify right side
    132.35x = 21,265.03
  5. Step 5: Solve for x
    x = 21,265.03/132.35
  6. Step 6: Final answer
    x = 160.68

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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.