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Finding the Fourth Proportional to 122.31, 169.63 and 112.06

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Solution

The fourth proportional to 122.31, 169.63 and 112.06 is: 155.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.31 : 169.63 = 112.06 : x
  2. Step 2: Convert to fraction form
    122.31/169.63 = 112.06/x
  3. Step 3: Cross multiply
    122.31x = 169.63 × 112.06
  4. Step 4: Simplify right side
    122.31x = 19,008.74
  5. Step 5: Solve for x
    x = 19,008.74/122.31
  6. Step 6: Final answer
    x = 155.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.