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Finding the Fourth Proportional to 84.18, 116.66 and 79.05

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Solution

The fourth proportional to 84.18, 116.66 and 79.05 is: 109.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.18 : 116.66 = 79.05 : x
  2. Step 2: Convert to fraction form
    84.18/116.66 = 79.05/x
  3. Step 3: Cross multiply
    84.18x = 116.66 × 79.05
  4. Step 4: Simplify right side
    84.18x = 9,221.14
  5. Step 5: Solve for x
    x = 9,221.14/84.18
  6. Step 6: Final answer
    x = 109.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.