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Finding the Fourth Proportional to 98.31, 147.12 and 82.28

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Solution

The fourth proportional to 98.31, 147.12 and 82.28 is: 123.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.31 : 147.12 = 82.28 : x
  2. Step 2: Convert to fraction form
    98.31/147.12 = 82.28/x
  3. Step 3: Cross multiply
    98.31x = 147.12 × 82.28
  4. Step 4: Simplify right side
    98.31x = 12,105.09
  5. Step 5: Solve for x
    x = 12,105.09/98.31
  6. Step 6: Final answer
    x = 123.13

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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.