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Finding the Fourth Proportional to 132.65, 199.81 and 122.63

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Solution

The fourth proportional to 132.65, 199.81 and 122.63 is: 184.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.65 : 199.81 = 122.63 : x
  2. Step 2: Convert to fraction form
    132.65/199.81 = 122.63/x
  3. Step 3: Cross multiply
    132.65x = 199.81 × 122.63
  4. Step 4: Simplify right side
    132.65x = 24,501.39
  5. Step 5: Solve for x
    x = 24,501.39/132.65
  6. Step 6: Final answer
    x = 184.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.