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Finding the Fourth Proportional to 101.28, 139.65 and 82.58

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Solution

The fourth proportional to 101.28, 139.65 and 82.58 is: 113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.28 : 139.65 = 82.58 : x
  2. Step 2: Convert to fraction form
    101.28/139.65 = 82.58/x
  3. Step 3: Cross multiply
    101.28x = 139.65 × 82.58
  4. Step 4: Simplify right side
    101.28x = 11,532.30
  5. Step 5: Solve for x
    x = 11,532.30/101.28
  6. Step 6: Final answer
    x = 113.87

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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.