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Finding the Fourth Proportional to 132.59, 198.65 and 105.71

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Solution

The fourth proportional to 132.59, 198.65 and 105.71 is: 158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.59 : 198.65 = 105.71 : x
  2. Step 2: Convert to fraction form
    132.59/198.65 = 105.71/x
  3. Step 3: Cross multiply
    132.59x = 198.65 × 105.71
  4. Step 4: Simplify right side
    132.59x = 20,998.56
  5. Step 5: Solve for x
    x = 20,998.56/132.59
  6. Step 6: Final answer
    x = 158.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.