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Finding the Fourth Proportional to 92.76, 138.92 and 52.20

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Solution

The fourth proportional to 92.76, 138.92 and 52.20 is: 78.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.76 : 138.92 = 52.20 : x
  2. Step 2: Convert to fraction form
    92.76/138.92 = 52.20/x
  3. Step 3: Cross multiply
    92.76x = 138.92 × 52.20
  4. Step 4: Simplify right side
    92.76x = 7,251.62
  5. Step 5: Solve for x
    x = 7,251.62/92.76
  6. Step 6: Final answer
    x = 78.18

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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.