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Finding the Fourth Proportional to 122.16, 167.71 and 105.56

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Solution

The fourth proportional to 122.16, 167.71 and 105.56 is: 144.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.16 : 167.71 = 105.56 : x
  2. Step 2: Convert to fraction form
    122.16/167.71 = 105.56/x
  3. Step 3: Cross multiply
    122.16x = 167.71 × 105.56
  4. Step 4: Simplify right side
    122.16x = 17,703.47
  5. Step 5: Solve for x
    x = 17,703.47/122.16
  6. Step 6: Final answer
    x = 144.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.