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Finding the Fourth Proportional to 122.13, 183.21 and 45.13

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Solution

The fourth proportional to 122.13, 183.21 and 45.13 is: 67.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.13 : 183.21 = 45.13 : x
  2. Step 2: Convert to fraction form
    122.13/183.21 = 45.13/x
  3. Step 3: Cross multiply
    122.13x = 183.21 × 45.13
  4. Step 4: Simplify right side
    122.13x = 8,268.24
  5. Step 5: Solve for x
    x = 8,268.24/122.13
  6. Step 6: Final answer
    x = 67.70

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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.