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Finding the Fourth Proportional to 169.76, 234.28 and 99.82

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Solution

The fourth proportional to 169.76, 234.28 and 99.82 is: 137.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.76 : 234.28 = 99.82 : x
  2. Step 2: Convert to fraction form
    169.76/234.28 = 99.82/x
  3. Step 3: Cross multiply
    169.76x = 234.28 × 99.82
  4. Step 4: Simplify right side
    169.76x = 23,385.83
  5. Step 5: Solve for x
    x = 23,385.83/169.76
  6. Step 6: Final answer
    x = 137.76

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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.