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Finding the Fourth Proportional to 96.98, 146 and 83.75

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Solution

The fourth proportional to 96.98, 146 and 83.75 is: 126.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.98 : 146 = 83.75 : x
  2. Step 2: Convert to fraction form
    96.98/146 = 83.75/x
  3. Step 3: Cross multiply
    96.98x = 146 × 83.75
  4. Step 4: Simplify right side
    96.98x = 12,227.50
  5. Step 5: Solve for x
    x = 12,227.50/96.98
  6. Step 6: Final answer
    x = 126.08

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Why These Related Problems?

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