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Finding the Fourth Proportional to 92.60, 138.79 and 37.68

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Solution

The fourth proportional to 92.60, 138.79 and 37.68 is: 56.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.60 : 138.79 = 37.68 : x
  2. Step 2: Convert to fraction form
    92.60/138.79 = 37.68/x
  3. Step 3: Cross multiply
    92.60x = 138.79 × 37.68
  4. Step 4: Simplify right side
    92.60x = 5,229.61
  5. Step 5: Solve for x
    x = 5,229.61/92.60
  6. Step 6: Final answer
    x = 56.48

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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.