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Finding the Fourth Proportional to 92.14, 138.23 and 37.30

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Solution

The fourth proportional to 92.14, 138.23 and 37.30 is: 55.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.14 : 138.23 = 37.30 : x
  2. Step 2: Convert to fraction form
    92.14/138.23 = 37.30/x
  3. Step 3: Cross multiply
    92.14x = 138.23 × 37.30
  4. Step 4: Simplify right side
    92.14x = 5,155.98
  5. Step 5: Solve for x
    x = 5,155.98/92.14
  6. Step 6: Final answer
    x = 55.96

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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.