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Finding the Fourth Proportional to 132.08, 197.94 and 50.88

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Solution

The fourth proportional to 132.08, 197.94 and 50.88 is: 76.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.08 : 197.94 = 50.88 : x
  2. Step 2: Convert to fraction form
    132.08/197.94 = 50.88/x
  3. Step 3: Cross multiply
    132.08x = 197.94 × 50.88
  4. Step 4: Simplify right side
    132.08x = 10,071.01
  5. Step 5: Solve for x
    x = 10,071.01/132.08
  6. Step 6: Final answer
    x = 76.25

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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.