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Finding the Fourth Proportional to 79.26, 118.08 and 75.38

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Solution

The fourth proportional to 79.26, 118.08 and 75.38 is: 112.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.26 : 118.08 = 75.38 : x
  2. Step 2: Convert to fraction form
    79.26/118.08 = 75.38/x
  3. Step 3: Cross multiply
    79.26x = 118.08 × 75.38
  4. Step 4: Simplify right side
    79.26x = 8,900.28
  5. Step 5: Solve for x
    x = 8,900.28/79.26
  6. Step 6: Final answer
    x = 112.30

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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.