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Finding the Fourth Proportional to 112.52, 168.72 and 72.23

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Solution

The fourth proportional to 112.52, 168.72 and 72.23 is: 108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.52 : 168.72 = 72.23 : x
  2. Step 2: Convert to fraction form
    112.52/168.72 = 72.23/x
  3. Step 3: Cross multiply
    112.52x = 168.72 × 72.23
  4. Step 4: Simplify right side
    112.52x = 12,186.65
  5. Step 5: Solve for x
    x = 12,186.65/112.52
  6. Step 6: Final answer
    x = 108.31

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