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Finding the Fourth Proportional to 101.29, 139.83 and 83.07

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Solution

The fourth proportional to 101.29, 139.83 and 83.07 is: 114.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.29 : 139.83 = 83.07 : x
  2. Step 2: Convert to fraction form
    101.29/139.83 = 83.07/x
  3. Step 3: Cross multiply
    101.29x = 139.83 × 83.07
  4. Step 4: Simplify right side
    101.29x = 11,615.68
  5. Step 5: Solve for x
    x = 11,615.68/101.29
  6. Step 6: Final answer
    x = 114.68

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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.