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Finding the Fourth Proportional to 81.22, 112.15 and 75.08

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Solution

The fourth proportional to 81.22, 112.15 and 75.08 is: 103.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.22 : 112.15 = 75.08 : x
  2. Step 2: Convert to fraction form
    81.22/112.15 = 75.08/x
  3. Step 3: Cross multiply
    81.22x = 112.15 × 75.08
  4. Step 4: Simplify right side
    81.22x = 8,420.22
  5. Step 5: Solve for x
    x = 8,420.22/81.22
  6. Step 6: Final answer
    x = 103.67

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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.