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Finding the Fourth Proportional to 170.12, 234.78 and 96.46

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Solution

The fourth proportional to 170.12, 234.78 and 96.46 is: 133.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.12 : 234.78 = 96.46 : x
  2. Step 2: Convert to fraction form
    170.12/234.78 = 96.46/x
  3. Step 3: Cross multiply
    170.12x = 234.78 × 96.46
  4. Step 4: Simplify right side
    170.12x = 22,646.88
  5. Step 5: Solve for x
    x = 22,646.88/170.12
  6. Step 6: Final answer
    x = 133.12

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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.