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Finding the Fourth Proportional to 182.13, 272.92 and 79.36

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Solution

The fourth proportional to 182.13, 272.92 and 79.36 is: 118.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.13 : 272.92 = 79.36 : x
  2. Step 2: Convert to fraction form
    182.13/272.92 = 79.36/x
  3. Step 3: Cross multiply
    182.13x = 272.92 × 79.36
  4. Step 4: Simplify right side
    182.13x = 21,658.92
  5. Step 5: Solve for x
    x = 21,658.92/182.13
  6. Step 6: Final answer
    x = 118.92

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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.