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Finding the Fourth Proportional to 98.70, 147.96 and 49.89

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Solution

The fourth proportional to 98.70, 147.96 and 49.89 is: 74.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.70 : 147.96 = 49.89 : x
  2. Step 2: Convert to fraction form
    98.70/147.96 = 49.89/x
  3. Step 3: Cross multiply
    98.70x = 147.96 × 49.89
  4. Step 4: Simplify right side
    98.70x = 7,380.98
  5. Step 5: Solve for x
    x = 7,380.98/98.70
  6. Step 6: Final answer
    x = 74.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.