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Finding the Fourth Proportional to 112.73, 168.27 and 99.77

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Solution

The fourth proportional to 112.73, 168.27 and 99.77 is: 148.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.73 : 168.27 = 99.77 : x
  2. Step 2: Convert to fraction form
    112.73/168.27 = 99.77/x
  3. Step 3: Cross multiply
    112.73x = 168.27 × 99.77
  4. Step 4: Simplify right side
    112.73x = 16,787.80
  5. Step 5: Solve for x
    x = 16,787.80/112.73
  6. Step 6: Final answer
    x = 148.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.