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Finding the Fourth Proportional to 111.92, 154.20 and 84.23

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Solution

The fourth proportional to 111.92, 154.20 and 84.23 is: 116.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.92 : 154.20 = 84.23 : x
  2. Step 2: Convert to fraction form
    111.92/154.20 = 84.23/x
  3. Step 3: Cross multiply
    111.92x = 154.20 × 84.23
  4. Step 4: Simplify right side
    111.92x = 12,987.50
  5. Step 5: Solve for x
    x = 12,987.50/111.92
  6. Step 6: Final answer
    x = 116.05

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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.