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Finding the Fourth Proportional to 104.22, 143.87 and 75.15

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Solution

The fourth proportional to 104.22, 143.87 and 75.15 is: 103.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.22 : 143.87 = 75.15 : x
  2. Step 2: Convert to fraction form
    104.22/143.87 = 75.15/x
  3. Step 3: Cross multiply
    104.22x = 143.87 × 75.15
  4. Step 4: Simplify right side
    104.22x = 10,811.45
  5. Step 5: Solve for x
    x = 10,811.45/104.22
  6. Step 6: Final answer
    x = 103.74

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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.