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Finding the Fourth Proportional to 101.76, 139.84 and 84.48

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Solution

The fourth proportional to 101.76, 139.84 and 84.48 is: 116.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.76 : 139.84 = 84.48 : x
  2. Step 2: Convert to fraction form
    101.76/139.84 = 84.48/x
  3. Step 3: Cross multiply
    101.76x = 139.84 × 84.48
  4. Step 4: Simplify right side
    101.76x = 11,813.68
  5. Step 5: Solve for x
    x = 11,813.68/101.76
  6. Step 6: Final answer
    x = 116.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.