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Finding the Fourth Proportional to 100.79, 139.04 and 82.15

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Solution

The fourth proportional to 100.79, 139.04 and 82.15 is: 113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.79 : 139.04 = 82.15 : x
  2. Step 2: Convert to fraction form
    100.79/139.04 = 82.15/x
  3. Step 3: Cross multiply
    100.79x = 139.04 × 82.15
  4. Step 4: Simplify right side
    100.79x = 11,421.69
  5. Step 5: Solve for x
    x = 11,421.69/100.79
  6. Step 6: Final answer
    x = 113.32

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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.