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Finding the Fourth Proportional to 112.37, 168.53 and 71.21

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Solution

The fourth proportional to 112.37, 168.53 and 71.21 is: 106.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.37 : 168.53 = 71.21 : x
  2. Step 2: Convert to fraction form
    112.37/168.53 = 71.21/x
  3. Step 3: Cross multiply
    112.37x = 168.53 × 71.21
  4. Step 4: Simplify right side
    112.37x = 12,001.09
  5. Step 5: Solve for x
    x = 12,001.09/112.37
  6. Step 6: Final answer
    x = 106.80

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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.