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Finding the Fourth Proportional to 79.23, 118.97 and 75.37

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Solution

The fourth proportional to 79.23, 118.97 and 75.37 is: 113.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.23 : 118.97 = 75.37 : x
  2. Step 2: Convert to fraction form
    79.23/118.97 = 75.37/x
  3. Step 3: Cross multiply
    79.23x = 118.97 × 75.37
  4. Step 4: Simplify right side
    79.23x = 8,966.82
  5. Step 5: Solve for x
    x = 8,966.82/79.23
  6. Step 6: Final answer
    x = 113.17

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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.