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Finding the Fourth Proportional to 104.81, 144.82 and 84.05

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Solution

The fourth proportional to 104.81, 144.82 and 84.05 is: 116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.81 : 144.82 = 84.05 : x
  2. Step 2: Convert to fraction form
    104.81/144.82 = 84.05/x
  3. Step 3: Cross multiply
    104.81x = 144.82 × 84.05
  4. Step 4: Simplify right side
    104.81x = 12,172.05
  5. Step 5: Solve for x
    x = 12,172.05/104.81
  6. Step 6: Final answer
    x = 116.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.