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Finding the Fourth Proportional to 170.56, 235.36 and 96.88

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Solution

The fourth proportional to 170.56, 235.36 and 96.88 is: 133.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.56 : 235.36 = 96.88 : x
  2. Step 2: Convert to fraction form
    170.56/235.36 = 96.88/x
  3. Step 3: Cross multiply
    170.56x = 235.36 × 96.88
  4. Step 4: Simplify right side
    170.56x = 22,801.92
  5. Step 5: Solve for x
    x = 22,801.92/170.56
  6. Step 6: Final answer
    x = 133.69

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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.