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Finding the Fourth Proportional to 132.55, 198.83 and 109.68

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Solution

The fourth proportional to 132.55, 198.83 and 109.68 is: 164.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.55 : 198.83 = 109.68 : x
  2. Step 2: Convert to fraction form
    132.55/198.83 = 109.68/x
  3. Step 3: Cross multiply
    132.55x = 198.83 × 109.68
  4. Step 4: Simplify right side
    132.55x = 21,807.67
  5. Step 5: Solve for x
    x = 21,807.67/132.55
  6. Step 6: Final answer
    x = 164.52

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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.