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Finding the Fourth Proportional to 92.60, 138.84 and 52

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Solution

The fourth proportional to 92.60, 138.84 and 52 is: 77.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.60 : 138.84 = 52 : x
  2. Step 2: Convert to fraction form
    92.60/138.84 = 52/x
  3. Step 3: Cross multiply
    92.60x = 138.84 × 52
  4. Step 4: Simplify right side
    92.60x = 7,219.68
  5. Step 5: Solve for x
    x = 7,219.68/92.60
  6. Step 6: Final answer
    x = 77.97

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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.