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Finding the Fourth Proportional to 112.46, 155.45 and 107.46

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Solution

The fourth proportional to 112.46, 155.45 and 107.46 is: 148.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.46 : 155.45 = 107.46 : x
  2. Step 2: Convert to fraction form
    112.46/155.45 = 107.46/x
  3. Step 3: Cross multiply
    112.46x = 155.45 × 107.46
  4. Step 4: Simplify right side
    112.46x = 16,704.93
  5. Step 5: Solve for x
    x = 16,704.93/112.46
  6. Step 6: Final answer
    x = 148.55

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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.