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Finding the Fourth Proportional to 104.84, 143.80 and 96.20

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Solution

The fourth proportional to 104.84, 143.80 and 96.20 is: 131.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.84 : 143.80 = 96.20 : x
  2. Step 2: Convert to fraction form
    104.84/143.80 = 96.20/x
  3. Step 3: Cross multiply
    104.84x = 143.80 × 96.20
  4. Step 4: Simplify right side
    104.84x = 13,833.56
  5. Step 5: Solve for x
    x = 13,833.56/104.84
  6. Step 6: Final answer
    x = 131.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.