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Finding the Fourth Proportional to 132.60, 198.86 and 105.86

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Solution

The fourth proportional to 132.60, 198.86 and 105.86 is: 158.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.60 : 198.86 = 105.86 : x
  2. Step 2: Convert to fraction form
    132.60/198.86 = 105.86/x
  3. Step 3: Cross multiply
    132.60x = 198.86 × 105.86
  4. Step 4: Simplify right side
    132.60x = 21,051.32
  5. Step 5: Solve for x
    x = 21,051.32/132.60
  6. Step 6: Final answer
    x = 158.76

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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.