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Finding the Fourth Proportional to 112.47, 167.75 and 109.05

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Solution

The fourth proportional to 112.47, 167.75 and 109.05 is: 162.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.47 : 167.75 = 109.05 : x
  2. Step 2: Convert to fraction form
    112.47/167.75 = 109.05/x
  3. Step 3: Cross multiply
    112.47x = 167.75 × 109.05
  4. Step 4: Simplify right side
    112.47x = 18,293.41
  5. Step 5: Solve for x
    x = 18,293.41/112.47
  6. Step 6: Final answer
    x = 162.66

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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.