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Finding the Fourth Proportional to 170.34, 235.06 and 96.65

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Solution

The fourth proportional to 170.34, 235.06 and 96.65 is: 133.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.34 : 235.06 = 96.65 : x
  2. Step 2: Convert to fraction form
    170.34/235.06 = 96.65/x
  3. Step 3: Cross multiply
    170.34x = 235.06 × 96.65
  4. Step 4: Simplify right side
    170.34x = 22,718.01
  5. Step 5: Solve for x
    x = 22,718.01/170.34
  6. Step 6: Final answer
    x = 133.37

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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.