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Finding the Fourth Proportional to 132.54, 198.71 and 64.09

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Solution

The fourth proportional to 132.54, 198.71 and 64.09 is: 96.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.54 : 198.71 = 64.09 : x
  2. Step 2: Convert to fraction form
    132.54/198.71 = 64.09/x
  3. Step 3: Cross multiply
    132.54x = 198.71 × 64.09
  4. Step 4: Simplify right side
    132.54x = 12,735.32
  5. Step 5: Solve for x
    x = 12,735.32/132.54
  6. Step 6: Final answer
    x = 96.09

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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.