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Finding the Fourth Proportional to 112.24, 154.74 and 72.83

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Solution

The fourth proportional to 112.24, 154.74 and 72.83 is: 100.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.24 : 154.74 = 72.83 : x
  2. Step 2: Convert to fraction form
    112.24/154.74 = 72.83/x
  3. Step 3: Cross multiply
    112.24x = 154.74 × 72.83
  4. Step 4: Simplify right side
    112.24x = 11,269.71
  5. Step 5: Solve for x
    x = 11,269.71/112.24
  6. Step 6: Final answer
    x = 100.41

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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.