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Finding the Fourth Proportional to 111.82, 168.35 and 102.26

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Solution

The fourth proportional to 111.82, 168.35 and 102.26 is: 153.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.82 : 168.35 = 102.26 : x
  2. Step 2: Convert to fraction form
    111.82/168.35 = 102.26/x
  3. Step 3: Cross multiply
    111.82x = 168.35 × 102.26
  4. Step 4: Simplify right side
    111.82x = 17,214.12
  5. Step 5: Solve for x
    x = 17,214.12/111.82
  6. Step 6: Final answer
    x = 153.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.