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Finding the Fourth Proportional to 112.44, 155.14 and 106.76

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Solution

The fourth proportional to 112.44, 155.14 and 106.76 is: 147.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.44 : 155.14 = 106.76 : x
  2. Step 2: Convert to fraction form
    112.44/155.14 = 106.76/x
  3. Step 3: Cross multiply
    112.44x = 155.14 × 106.76
  4. Step 4: Simplify right side
    112.44x = 16,562.75
  5. Step 5: Solve for x
    x = 16,562.75/112.44
  6. Step 6: Final answer
    x = 147.30

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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.