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Finding the Fourth Proportional to 170.42, 235.20 and 96.76

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Solution

The fourth proportional to 170.42, 235.20 and 96.76 is: 133.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.42 : 235.20 = 96.76 : x
  2. Step 2: Convert to fraction form
    170.42/235.20 = 96.76/x
  3. Step 3: Cross multiply
    170.42x = 235.20 × 96.76
  4. Step 4: Simplify right side
    170.42x = 22,757.95
  5. Step 5: Solve for x
    x = 22,757.95/170.42
  6. Step 6: Final answer
    x = 133.54

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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.