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Finding the Fourth Proportional to 122.09, 182.37 and 101.82

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Solution

The fourth proportional to 122.09, 182.37 and 101.82 is: 152.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.09 : 182.37 = 101.82 : x
  2. Step 2: Convert to fraction form
    122.09/182.37 = 101.82/x
  3. Step 3: Cross multiply
    122.09x = 182.37 × 101.82
  4. Step 4: Simplify right side
    122.09x = 18,568.91
  5. Step 5: Solve for x
    x = 18,568.91/122.09
  6. Step 6: Final answer
    x = 152.10

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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.