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Finding the Fourth Proportional to 104, 143.16 and 86.36

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Solution

The fourth proportional to 104, 143.16 and 86.36 is: 118.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    104 : 143.16 = 86.36 : x
  2. Step 2: Convert to fraction form
    104/143.16 = 86.36/x
  3. Step 3: Cross multiply
    104x = 143.16 × 86.36
  4. Step 4: Simplify right side
    104x = 12,363.30
  5. Step 5: Solve for x
    x = 12,363.30/104
  6. Step 6: Final answer
    x = 118.88

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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.