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Finding the Fourth Proportional to 132.33, 198.23 and 78.06

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Solution

The fourth proportional to 132.33, 198.23 and 78.06 is: 116.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.33 : 198.23 = 78.06 : x
  2. Step 2: Convert to fraction form
    132.33/198.23 = 78.06/x
  3. Step 3: Cross multiply
    132.33x = 198.23 × 78.06
  4. Step 4: Simplify right side
    132.33x = 15,473.44
  5. Step 5: Solve for x
    x = 15,473.44/132.33
  6. Step 6: Final answer
    x = 116.93

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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.