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Finding the Fourth Proportional to 101.05, 139.46 and 56.79

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Solution

The fourth proportional to 101.05, 139.46 and 56.79 is: 78.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.05 : 139.46 = 56.79 : x
  2. Step 2: Convert to fraction form
    101.05/139.46 = 56.79/x
  3. Step 3: Cross multiply
    101.05x = 139.46 × 56.79
  4. Step 4: Simplify right side
    101.05x = 7,919.93
  5. Step 5: Solve for x
    x = 7,919.93/101.05
  6. Step 6: Final answer
    x = 78.38

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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.