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Finding the Fourth Proportional to 132.67, 182.94 and 104.99

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Solution

The fourth proportional to 132.67, 182.94 and 104.99 is: 144.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.67 : 182.94 = 104.99 : x
  2. Step 2: Convert to fraction form
    132.67/182.94 = 104.99/x
  3. Step 3: Cross multiply
    132.67x = 182.94 × 104.99
  4. Step 4: Simplify right side
    132.67x = 19,206.87
  5. Step 5: Solve for x
    x = 19,206.87/132.67
  6. Step 6: Final answer
    x = 144.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.