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Finding the Fourth Proportional to 100.72, 139.06 and 82.34

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Solution

The fourth proportional to 100.72, 139.06 and 82.34 is: 113.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.72 : 139.06 = 82.34 : x
  2. Step 2: Convert to fraction form
    100.72/139.06 = 82.34/x
  3. Step 3: Cross multiply
    100.72x = 139.06 × 82.34
  4. Step 4: Simplify right side
    100.72x = 11,450.20
  5. Step 5: Solve for x
    x = 11,450.20/100.72
  6. Step 6: Final answer
    x = 113.68

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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.