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Finding the Fourth Proportional to 118, 177.12 and 82

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Solution

The fourth proportional to 118, 177.12 and 82 is: 123.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    118 : 177.12 = 82 : x
  2. Step 2: Convert to fraction form
    118/177.12 = 82/x
  3. Step 3: Cross multiply
    118x = 177.12 × 82
  4. Step 4: Simplify right side
    118x = 14,523.84
  5. Step 5: Solve for x
    x = 14,523.84/118
  6. Step 6: Final answer
    x = 123.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.