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Finding the Fourth Proportional to 79.35, 118.19 and 75.84

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Solution

The fourth proportional to 79.35, 118.19 and 75.84 is: 112.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.35 : 118.19 = 75.84 : x
  2. Step 2: Convert to fraction form
    79.35/118.19 = 75.84/x
  3. Step 3: Cross multiply
    79.35x = 118.19 × 75.84
  4. Step 4: Simplify right side
    79.35x = 8,963.53
  5. Step 5: Solve for x
    x = 8,963.53/79.35
  6. Step 6: Final answer
    x = 112.96

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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.