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Finding the Fourth Proportional to 101.44, 139.76 and 76.56

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Solution

The fourth proportional to 101.44, 139.76 and 76.56 is: 105.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.44 : 139.76 = 76.56 : x
  2. Step 2: Convert to fraction form
    101.44/139.76 = 76.56/x
  3. Step 3: Cross multiply
    101.44x = 139.76 × 76.56
  4. Step 4: Simplify right side
    101.44x = 10,700.03
  5. Step 5: Solve for x
    x = 10,700.03/101.44
  6. Step 6: Final answer
    x = 105.48

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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.