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Finding the Fourth Proportional to 132.71, 197.99 and 122.90

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Solution

The fourth proportional to 132.71, 197.99 and 122.90 is: 183.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.71 : 197.99 = 122.90 : x
  2. Step 2: Convert to fraction form
    132.71/197.99 = 122.90/x
  3. Step 3: Cross multiply
    132.71x = 197.99 × 122.90
  4. Step 4: Simplify right side
    132.71x = 24,332.97
  5. Step 5: Solve for x
    x = 24,332.97/132.71
  6. Step 6: Final answer
    x = 183.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.