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Finding the Fourth Proportional to 122.09, 182.68 and 73.16

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Solution

The fourth proportional to 122.09, 182.68 and 73.16 is: 109.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.09 : 182.68 = 73.16 : x
  2. Step 2: Convert to fraction form
    122.09/182.68 = 73.16/x
  3. Step 3: Cross multiply
    122.09x = 182.68 × 73.16
  4. Step 4: Simplify right side
    122.09x = 13,364.87
  5. Step 5: Solve for x
    x = 13,364.87/122.09
  6. Step 6: Final answer
    x = 109.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.