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Finding the Fourth Proportional to 79.38, 118.98 and 31.23

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Solution

The fourth proportional to 79.38, 118.98 and 31.23 is: 46.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.38 : 118.98 = 31.23 : x
  2. Step 2: Convert to fraction form
    79.38/118.98 = 31.23/x
  3. Step 3: Cross multiply
    79.38x = 118.98 × 31.23
  4. Step 4: Simplify right side
    79.38x = 3,715.75
  5. Step 5: Solve for x
    x = 3,715.75/79.38
  6. Step 6: Final answer
    x = 46.81

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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.