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Finding the Fourth Proportional to 72.14, 108.23 and 37.88

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Solution

The fourth proportional to 72.14, 108.23 and 37.88 is: 56.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.14 : 108.23 = 37.88 : x
  2. Step 2: Convert to fraction form
    72.14/108.23 = 37.88/x
  3. Step 3: Cross multiply
    72.14x = 108.23 × 37.88
  4. Step 4: Simplify right side
    72.14x = 4,099.75
  5. Step 5: Solve for x
    x = 4,099.75/72.14
  6. Step 6: Final answer
    x = 56.83

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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.