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Finding the Fourth Proportional to 111.63, 154.22 and 84

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Solution

The fourth proportional to 111.63, 154.22 and 84 is: 116.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.63 : 154.22 = 84 : x
  2. Step 2: Convert to fraction form
    111.63/154.22 = 84/x
  3. Step 3: Cross multiply
    111.63x = 154.22 × 84
  4. Step 4: Simplify right side
    111.63x = 12,954.06
  5. Step 5: Solve for x
    x = 12,954.06/111.63
  6. Step 6: Final answer
    x = 116.04

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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.