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Finding the Fourth Proportional to 132.96, 198.48 and 105.66

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Solution

The fourth proportional to 132.96, 198.48 and 105.66 is: 157.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.96 : 198.48 = 105.66 : x
  2. Step 2: Convert to fraction form
    132.96/198.48 = 105.66/x
  3. Step 3: Cross multiply
    132.96x = 198.48 × 105.66
  4. Step 4: Simplify right side
    132.96x = 20,971.40
  5. Step 5: Solve for x
    x = 20,971.40/132.96
  6. Step 6: Final answer
    x = 157.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.