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Finding the Fourth Proportional to 112.22, 167.68 and 82.81

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Solution

The fourth proportional to 112.22, 167.68 and 82.81 is: 123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.22 : 167.68 = 82.81 : x
  2. Step 2: Convert to fraction form
    112.22/167.68 = 82.81/x
  3. Step 3: Cross multiply
    112.22x = 167.68 × 82.81
  4. Step 4: Simplify right side
    112.22x = 13,886.13
  5. Step 5: Solve for x
    x = 13,886.13/112.22
  6. Step 6: Final answer
    x = 123.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.