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Finding the Fourth Proportional to 79.82, 118.88 and 74.82

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Solution

The fourth proportional to 79.82, 118.88 and 74.82 is: 111.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.82 : 118.88 = 74.82 : x
  2. Step 2: Convert to fraction form
    79.82/118.88 = 74.82/x
  3. Step 3: Cross multiply
    79.82x = 118.88 × 74.82
  4. Step 4: Simplify right side
    79.82x = 8,894.23
  5. Step 5: Solve for x
    x = 8,894.23/79.82
  6. Step 6: Final answer
    x = 111.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.