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Finding the Fourth Proportional to 95.46, 142.96 and 49.83

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Solution

The fourth proportional to 95.46, 142.96 and 49.83 is: 74.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.46 : 142.96 = 49.83 : x
  2. Step 2: Convert to fraction form
    95.46/142.96 = 49.83/x
  3. Step 3: Cross multiply
    95.46x = 142.96 × 49.83
  4. Step 4: Simplify right side
    95.46x = 7,123.70
  5. Step 5: Solve for x
    x = 7,123.70/95.46
  6. Step 6: Final answer
    x = 74.62

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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.