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Finding the Fourth Proportional to 94.92, 130.87 and 77.37

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Solution

The fourth proportional to 94.92, 130.87 and 77.37 is: 106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.92 : 130.87 = 77.37 : x
  2. Step 2: Convert to fraction form
    94.92/130.87 = 77.37/x
  3. Step 3: Cross multiply
    94.92x = 130.87 × 77.37
  4. Step 4: Simplify right side
    94.92x = 10,125.41
  5. Step 5: Solve for x
    x = 10,125.41/94.92
  6. Step 6: Final answer
    x = 106.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.