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Finding the Fourth Proportional to 118.84, 164 and 66.39

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Solution

The fourth proportional to 118.84, 164 and 66.39 is: 91.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.84 : 164 = 66.39 : x
  2. Step 2: Convert to fraction form
    118.84/164 = 66.39/x
  3. Step 3: Cross multiply
    118.84x = 164 × 66.39
  4. Step 4: Simplify right side
    118.84x = 10,887.96
  5. Step 5: Solve for x
    x = 10,887.96/118.84
  6. Step 6: Final answer
    x = 91.62

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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.