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Finding the Fourth Proportional to 134.98, 202.03 and 122.68

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Solution

The fourth proportional to 134.98, 202.03 and 122.68 is: 183.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.98 : 202.03 = 122.68 : x
  2. Step 2: Convert to fraction form
    134.98/202.03 = 122.68/x
  3. Step 3: Cross multiply
    134.98x = 202.03 × 122.68
  4. Step 4: Simplify right side
    134.98x = 24,785.04
  5. Step 5: Solve for x
    x = 24,785.04/134.98
  6. Step 6: Final answer
    x = 183.62

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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.