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Finding the Fourth Proportional to 79.15, 118.75 and 35.82

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Solution

The fourth proportional to 79.15, 118.75 and 35.82 is: 53.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.15 : 118.75 = 35.82 : x
  2. Step 2: Convert to fraction form
    79.15/118.75 = 35.82/x
  3. Step 3: Cross multiply
    79.15x = 118.75 × 35.82
  4. Step 4: Simplify right side
    79.15x = 4,253.83
  5. Step 5: Solve for x
    x = 4,253.83/79.15
  6. Step 6: Final answer
    x = 53.75

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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.