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Finding the Fourth Proportional to 112.62, 155.28 and 108.96

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Solution

The fourth proportional to 112.62, 155.28 and 108.96 is: 150.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.62 : 155.28 = 108.96 : x
  2. Step 2: Convert to fraction form
    112.62/155.28 = 108.96/x
  3. Step 3: Cross multiply
    112.62x = 155.28 × 108.96
  4. Step 4: Simplify right side
    112.62x = 16,919.31
  5. Step 5: Solve for x
    x = 16,919.31/112.62
  6. Step 6: Final answer
    x = 150.23

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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.