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Finding the Fourth Proportional to 98.92, 149.24 and 98.65

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Solution

The fourth proportional to 98.92, 149.24 and 98.65 is: 148.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.92 : 149.24 = 98.65 : x
  2. Step 2: Convert to fraction form
    98.92/149.24 = 98.65/x
  3. Step 3: Cross multiply
    98.92x = 149.24 × 98.65
  4. Step 4: Simplify right side
    98.92x = 14,722.53
  5. Step 5: Solve for x
    x = 14,722.53/98.92
  6. Step 6: Final answer
    x = 148.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.