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Finding the Fourth Proportional to 153.76, 230.82 and 107.92

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Solution

The fourth proportional to 153.76, 230.82 and 107.92 is: 162.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.76 : 230.82 = 107.92 : x
  2. Step 2: Convert to fraction form
    153.76/230.82 = 107.92/x
  3. Step 3: Cross multiply
    153.76x = 230.82 × 107.92
  4. Step 4: Simplify right side
    153.76x = 24,910.09
  5. Step 5: Solve for x
    x = 24,910.09/153.76
  6. Step 6: Final answer
    x = 162.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.