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Finding the Fourth Proportional to 170.98, 235.96 and 96.29

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Solution

The fourth proportional to 170.98, 235.96 and 96.29 is: 132.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.98 : 235.96 = 96.29 : x
  2. Step 2: Convert to fraction form
    170.98/235.96 = 96.29/x
  3. Step 3: Cross multiply
    170.98x = 235.96 × 96.29
  4. Step 4: Simplify right side
    170.98x = 22,720.65
  5. Step 5: Solve for x
    x = 22,720.65/170.98
  6. Step 6: Final answer
    x = 132.89

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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.