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Finding the Fourth Proportional to 112.24, 154.71 and 102.82

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Solution

The fourth proportional to 112.24, 154.71 and 102.82 is: 141.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.24 : 154.71 = 102.82 : x
  2. Step 2: Convert to fraction form
    112.24/154.71 = 102.82/x
  3. Step 3: Cross multiply
    112.24x = 154.71 × 102.82
  4. Step 4: Simplify right side
    112.24x = 15,906.77
  5. Step 5: Solve for x
    x = 15,906.77/112.24
  6. Step 6: Final answer
    x = 141.73

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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.