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Finding the Fourth Proportional to 112.42, 167.69 and 110.35

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Solution

The fourth proportional to 112.42, 167.69 and 110.35 is: 164.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.42 : 167.69 = 110.35 : x
  2. Step 2: Convert to fraction form
    112.42/167.69 = 110.35/x
  3. Step 3: Cross multiply
    112.42x = 167.69 × 110.35
  4. Step 4: Simplify right side
    112.42x = 18,504.59
  5. Step 5: Solve for x
    x = 18,504.59/112.42
  6. Step 6: Final answer
    x = 164.60

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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.