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Finding the Fourth Proportional to 118.78, 164.22 and 91.11

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Solution

The fourth proportional to 118.78, 164.22 and 91.11 is: 125.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.78 : 164.22 = 91.11 : x
  2. Step 2: Convert to fraction form
    118.78/164.22 = 91.11/x
  3. Step 3: Cross multiply
    118.78x = 164.22 × 91.11
  4. Step 4: Simplify right side
    118.78x = 14,962.08
  5. Step 5: Solve for x
    x = 14,962.08/118.78
  6. Step 6: Final answer
    x = 125.96

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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.