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Finding the Fourth Proportional to 98.92, 148.36 and 82.84

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Solution

The fourth proportional to 98.92, 148.36 and 82.84 is: 124.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.92 : 148.36 = 82.84 : x
  2. Step 2: Convert to fraction form
    98.92/148.36 = 82.84/x
  3. Step 3: Cross multiply
    98.92x = 148.36 × 82.84
  4. Step 4: Simplify right side
    98.92x = 12,290.14
  5. Step 5: Solve for x
    x = 12,290.14/98.92
  6. Step 6: Final answer
    x = 124.24

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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.