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Finding the Fourth Proportional to 94.62, 130.30 and 73.83

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Solution

The fourth proportional to 94.62, 130.30 and 73.83 is: 101.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.62 : 130.30 = 73.83 : x
  2. Step 2: Convert to fraction form
    94.62/130.30 = 73.83/x
  3. Step 3: Cross multiply
    94.62x = 130.30 × 73.83
  4. Step 4: Simplify right side
    94.62x = 9,620.05
  5. Step 5: Solve for x
    x = 9,620.05/94.62
  6. Step 6: Final answer
    x = 101.67

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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.