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Finding the Fourth Proportional to 112.04, 167.70 and 73.43

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Solution

The fourth proportional to 112.04, 167.70 and 73.43 is: 109.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.04 : 167.70 = 73.43 : x
  2. Step 2: Convert to fraction form
    112.04/167.70 = 73.43/x
  3. Step 3: Cross multiply
    112.04x = 167.70 × 73.43
  4. Step 4: Simplify right side
    112.04x = 12,314.21
  5. Step 5: Solve for x
    x = 12,314.21/112.04
  6. Step 6: Final answer
    x = 109.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.