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Finding the Fourth Proportional to 112.33, 167.07 and 110.02

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Solution

The fourth proportional to 112.33, 167.07 and 110.02 is: 163.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.33 : 167.07 = 110.02 : x
  2. Step 2: Convert to fraction form
    112.33/167.07 = 110.02/x
  3. Step 3: Cross multiply
    112.33x = 167.07 × 110.02
  4. Step 4: Simplify right side
    112.33x = 18,381.04
  5. Step 5: Solve for x
    x = 18,381.04/112.33
  6. Step 6: Final answer
    x = 163.63

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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.