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Finding the Fourth Proportional to 104.52, 155.73 and 98.31

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Solution

The fourth proportional to 104.52, 155.73 and 98.31 is: 146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.52 : 155.73 = 98.31 : x
  2. Step 2: Convert to fraction form
    104.52/155.73 = 98.31/x
  3. Step 3: Cross multiply
    104.52x = 155.73 × 98.31
  4. Step 4: Simplify right side
    104.52x = 15,309.82
  5. Step 5: Solve for x
    x = 15,309.82/104.52
  6. Step 6: Final answer
    x = 146.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.