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Finding the Fourth Proportional to 92.78, 138.60 and 76.76

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Solution

The fourth proportional to 92.78, 138.60 and 76.76 is: 114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.78 : 138.60 = 76.76 : x
  2. Step 2: Convert to fraction form
    92.78/138.60 = 76.76/x
  3. Step 3: Cross multiply
    92.78x = 138.60 × 76.76
  4. Step 4: Simplify right side
    92.78x = 10,638.94
  5. Step 5: Solve for x
    x = 10,638.94/92.78
  6. Step 6: Final answer
    x = 114.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.