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Finding the Fourth Proportional to 79.30, 118.95 and 27.94

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Solution

The fourth proportional to 79.30, 118.95 and 27.94 is: 41.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.30 : 118.95 = 27.94 : x
  2. Step 2: Convert to fraction form
    79.30/118.95 = 27.94/x
  3. Step 3: Cross multiply
    79.30x = 118.95 × 27.94
  4. Step 4: Simplify right side
    79.30x = 3,323.32
  5. Step 5: Solve for x
    x = 3,323.32/79.30
  6. Step 6: Final answer
    x = 41.91

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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.