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Finding the Fourth Proportional to 96.98, 133.83 and 58.17

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Solution

The fourth proportional to 96.98, 133.83 and 58.17 is: 80.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.98 : 133.83 = 58.17 : x
  2. Step 2: Convert to fraction form
    96.98/133.83 = 58.17/x
  3. Step 3: Cross multiply
    96.98x = 133.83 × 58.17
  4. Step 4: Simplify right side
    96.98x = 7,784.08
  5. Step 5: Solve for x
    x = 7,784.08/96.98
  6. Step 6: Final answer
    x = 80.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.