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Finding the Fourth Proportional to 98.25, 147.16 and 54.82

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Solution

The fourth proportional to 98.25, 147.16 and 54.82 is: 82.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.25 : 147.16 = 54.82 : x
  2. Step 2: Convert to fraction form
    98.25/147.16 = 54.82/x
  3. Step 3: Cross multiply
    98.25x = 147.16 × 54.82
  4. Step 4: Simplify right side
    98.25x = 8,067.31
  5. Step 5: Solve for x
    x = 8,067.31/98.25
  6. Step 6: Final answer
    x = 82.11

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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.