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Finding the Fourth Proportional to 104, 143.52 and 82.24

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Solution

The fourth proportional to 104, 143.52 and 82.24 is: 113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    104 : 143.52 = 82.24 : x
  2. Step 2: Convert to fraction form
    104/143.52 = 82.24/x
  3. Step 3: Cross multiply
    104x = 143.52 × 82.24
  4. Step 4: Simplify right side
    104x = 11,803.08
  5. Step 5: Solve for x
    x = 11,803.08/104
  6. Step 6: Final answer
    x = 113.49

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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.