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Finding the Fourth Proportional to 101.40, 139.92 and 76.84

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Solution

The fourth proportional to 101.40, 139.92 and 76.84 is: 106.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.40 : 139.92 = 76.84 : x
  2. Step 2: Convert to fraction form
    101.40/139.92 = 76.84/x
  3. Step 3: Cross multiply
    101.40x = 139.92 × 76.84
  4. Step 4: Simplify right side
    101.40x = 10,751.45
  5. Step 5: Solve for x
    x = 10,751.45/101.40
  6. Step 6: Final answer
    x = 106.03

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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.