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Finding the Fourth Proportional to 132.53, 198.73 and 71.65

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Solution

The fourth proportional to 132.53, 198.73 and 71.65 is: 107.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.53 : 198.73 = 71.65 : x
  2. Step 2: Convert to fraction form
    132.53/198.73 = 71.65/x
  3. Step 3: Cross multiply
    132.53x = 198.73 × 71.65
  4. Step 4: Simplify right side
    132.53x = 14,239.00
  5. Step 5: Solve for x
    x = 14,239.00/132.53
  6. Step 6: Final answer
    x = 107.44

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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.